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Finding the Fourth Proportional to 732.47, 1,010.79 and 413.41

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Solution

The fourth proportional to 732.47, 1,010.79 and 413.41 is: 570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.47 : 1,010.79 = 413.41 : x
  2. Step 2: Convert to fraction form
    732.47/1,010.79 = 413.41/x
  3. Step 3: Cross multiply
    732.47x = 1,010.79 × 413.41
  4. Step 4: Simplify right side
    732.47x = 417,870.69
  5. Step 5: Solve for x
    x = 417,870.69/732.47
  6. Step 6: Final answer
    x = 570.50

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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.