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Finding the Fourth Proportional to 659.68, 988.88 and 552.16

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Solution

The fourth proportional to 659.68, 988.88 and 552.16 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 988.88 = 552.16 : x
  2. Step 2: Convert to fraction form
    659.68/988.88 = 552.16/x
  3. Step 3: Cross multiply
    659.68x = 988.88 × 552.16
  4. Step 4: Simplify right side
    659.68x = 546,019.98
  5. Step 5: Solve for x
    x = 546,019.98/659.68
  6. Step 6: Final answer
    x = 827.70

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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.