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Finding the Fourth Proportional to 708.94, 1,061.04 and 613.90

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Solution

The fourth proportional to 708.94, 1,061.04 and 613.90 is: 918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.94 : 1,061.04 = 613.90 : x
  2. Step 2: Convert to fraction form
    708.94/1,061.04 = 613.90/x
  3. Step 3: Cross multiply
    708.94x = 1,061.04 × 613.90
  4. Step 4: Simplify right side
    708.94x = 651,372.46
  5. Step 5: Solve for x
    x = 651,372.46/708.94
  6. Step 6: Final answer
    x = 918.80

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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.