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Finding the Fourth Proportional to 709.60, 978.24 and 502.24

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Solution

The fourth proportional to 709.60, 978.24 and 502.24 is: 692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 978.24 = 502.24 : x
  2. Step 2: Convert to fraction form
    709.60/978.24 = 502.24/x
  3. Step 3: Cross multiply
    709.60x = 978.24 × 502.24
  4. Step 4: Simplify right side
    709.60x = 491,311.26
  5. Step 5: Solve for x
    x = 491,311.26/709.60
  6. Step 6: Final answer
    x = 692.38

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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.