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Finding the Fourth Proportional to 770.32, 1,062.75 and 508.42

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Solution

The fourth proportional to 770.32, 1,062.75 and 508.42 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.32 : 1,062.75 = 508.42 : x
  2. Step 2: Convert to fraction form
    770.32/1,062.75 = 508.42/x
  3. Step 3: Cross multiply
    770.32x = 1,062.75 × 508.42
  4. Step 4: Simplify right side
    770.32x = 540,323.36
  5. Step 5: Solve for x
    x = 540,323.36/770.32
  6. Step 6: Final answer
    x = 701.43

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Double scale
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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.