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Finding the Fourth Proportional to 822.07, 1,134.56 and 472.75

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Solution

The fourth proportional to 822.07, 1,134.56 and 472.75 is: 652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.07 : 1,134.56 = 472.75 : x
  2. Step 2: Convert to fraction form
    822.07/1,134.56 = 472.75/x
  3. Step 3: Cross multiply
    822.07x = 1,134.56 × 472.75
  4. Step 4: Simplify right side
    822.07x = 536,363.24
  5. Step 5: Solve for x
    x = 536,363.24/822.07
  6. Step 6: Final answer
    x = 652.45

Related Problems

Find fourth proportional to 411.04, 567.28 and 236.38
Half scale
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Double scale
Find fourth proportional to 823.07, 1,135.94 and 473.75
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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.