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Finding the Fourth Proportional to 770.47, 1,063.05 and 732.13

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Solution

The fourth proportional to 770.47, 1,063.05 and 732.13 is: 1,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.47 : 1,063.05 = 732.13 : x
  2. Step 2: Convert to fraction form
    770.47/1,063.05 = 732.13/x
  3. Step 3: Cross multiply
    770.47x = 1,063.05 × 732.13
  4. Step 4: Simplify right side
    770.47x = 778,290.80
  5. Step 5: Solve for x
    x = 778,290.80/770.47
  6. Step 6: Final answer
    x = 1,010.15

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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.