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Finding the Fourth Proportional to 659.36, 988.32 and 477.55

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Solution

The fourth proportional to 659.36, 988.32 and 477.55 is: 715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 988.32 = 477.55 : x
  2. Step 2: Convert to fraction form
    659.36/988.32 = 477.55/x
  3. Step 3: Cross multiply
    659.36x = 988.32 × 477.55
  4. Step 4: Simplify right side
    659.36x = 471,972.22
  5. Step 5: Solve for x
    x = 471,972.22/659.36
  6. Step 6: Final answer
    x = 715.80

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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.