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Finding the Fourth Proportional to 659.76, 987.84 and 523.68

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Solution

The fourth proportional to 659.76, 987.84 and 523.68 is: 784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 987.84 = 523.68 : x
  2. Step 2: Convert to fraction form
    659.76/987.84 = 523.68/x
  3. Step 3: Cross multiply
    659.76x = 987.84 × 523.68
  4. Step 4: Simplify right side
    659.76x = 517,312.05
  5. Step 5: Solve for x
    x = 517,312.05/659.76
  6. Step 6: Final answer
    x = 784.09

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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.