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Finding the Fourth Proportional to 659.92, 985.14 and 573.52

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Solution

The fourth proportional to 659.92, 985.14 and 573.52 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.92 : 985.14 = 573.52 : x
  2. Step 2: Convert to fraction form
    659.92/985.14 = 573.52/x
  3. Step 3: Cross multiply
    659.92x = 985.14 × 573.52
  4. Step 4: Simplify right side
    659.92x = 564,997.49
  5. Step 5: Solve for x
    x = 564,997.49/659.92
  6. Step 6: Final answer
    x = 856.16

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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.