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Finding the Fourth Proportional to 822.75, 1,135.21 and 508.36

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Solution

The fourth proportional to 822.75, 1,135.21 and 508.36 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,135.21 = 508.36 : x
  2. Step 2: Convert to fraction form
    822.75/1,135.21 = 508.36/x
  3. Step 3: Cross multiply
    822.75x = 1,135.21 × 508.36
  4. Step 4: Simplify right side
    822.75x = 577,095.36
  5. Step 5: Solve for x
    x = 577,095.36/822.75
  6. Step 6: Final answer
    x = 701.42

Related Problems

Find fourth proportional to 411.38, 567.61 and 254.18
Half scale
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Double scale
Find fourth proportional to 823.75, 1,136.59 and 509.36
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.