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Finding the Fourth Proportional to 688.16, 1,031.76 and 523.48

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Solution

The fourth proportional to 688.16, 1,031.76 and 523.48 is: 784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.16 : 1,031.76 = 523.48 : x
  2. Step 2: Convert to fraction form
    688.16/1,031.76 = 523.48/x
  3. Step 3: Cross multiply
    688.16x = 1,031.76 × 523.48
  4. Step 4: Simplify right side
    688.16x = 540,105.72
  5. Step 5: Solve for x
    x = 540,105.72/688.16
  6. Step 6: Final answer
    x = 784.85

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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.