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Finding the Fourth Proportional to 708.45, 1,061.00 and 571.15

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Solution

The fourth proportional to 708.45, 1,061.00 and 571.15 is: 855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.45 : 1,061.00 = 571.15 : x
  2. Step 2: Convert to fraction form
    708.45/1,061.00 = 571.15/x
  3. Step 3: Cross multiply
    708.45x = 1,061.00 × 571.15
  4. Step 4: Simplify right side
    708.45x = 605,990.76
  5. Step 5: Solve for x
    x = 605,990.76/708.45
  6. Step 6: Final answer
    x = 855.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.