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Finding the Fourth Proportional to 732.77, 1,011.32 and 413.80

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Solution

The fourth proportional to 732.77, 1,011.32 and 413.80 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,011.32 = 413.80 : x
  2. Step 2: Convert to fraction form
    732.77/1,011.32 = 413.80/x
  3. Step 3: Cross multiply
    732.77x = 1,011.32 × 413.80
  4. Step 4: Simplify right side
    732.77x = 418,483.41
  5. Step 5: Solve for x
    x = 418,483.41/732.77
  6. Step 6: Final answer
    x = 571.10

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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.