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Finding the Fourth Proportional to 709.57, 978.15 and 499.06

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Solution

The fourth proportional to 709.57, 978.15 and 499.06 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 978.15 = 499.06 : x
  2. Step 2: Convert to fraction form
    709.57/978.15 = 499.06/x
  3. Step 3: Cross multiply
    709.57x = 978.15 × 499.06
  4. Step 4: Simplify right side
    709.57x = 488,155.54
  5. Step 5: Solve for x
    x = 488,155.54/709.57
  6. Step 6: Final answer
    x = 687.96

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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.