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Finding the Fourth Proportional to 744.71, 1,027.67 and 413.13

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Solution

The fourth proportional to 744.71, 1,027.67 and 413.13 is: 570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.71 : 1,027.67 = 413.13 : x
  2. Step 2: Convert to fraction form
    744.71/1,027.67 = 413.13/x
  3. Step 3: Cross multiply
    744.71x = 1,027.67 × 413.13
  4. Step 4: Simplify right side
    744.71x = 424,559.24
  5. Step 5: Solve for x
    x = 424,559.24/744.71
  6. Step 6: Final answer
    x = 570.10

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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.