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Finding the Fourth Proportional to 1,024.43, 1,413.75 and 709.76

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Solution

The fourth proportional to 1,024.43, 1,413.75 and 709.76 is: 979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.43 : 1,413.75 = 709.76 : x
  2. Step 2: Convert to fraction form
    1,024.43/1,413.75 = 709.76/x
  3. Step 3: Cross multiply
    1,024.43x = 1,413.75 × 709.76
  4. Step 4: Simplify right side
    1,024.43x = 1,003,423.20
  5. Step 5: Solve for x
    x = 1,003,423.20/1,024.43
  6. Step 6: Final answer
    x = 979.49

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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.