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Finding the Fourth Proportional to 710.71, 1,060.27 and 692.59

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Solution

The fourth proportional to 710.71, 1,060.27 and 692.59 is: 1,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.71 : 1,060.27 = 692.59 : x
  2. Step 2: Convert to fraction form
    710.71/1,060.27 = 692.59/x
  3. Step 3: Cross multiply
    710.71x = 1,060.27 × 692.59
  4. Step 4: Simplify right side
    710.71x = 734,332.40
  5. Step 5: Solve for x
    x = 734,332.40/710.71
  6. Step 6: Final answer
    x = 1,033.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.