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Finding the Fourth Proportional to 688.53, 1,031.85 and 380.01

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Solution

The fourth proportional to 688.53, 1,031.85 and 380.01 is: 569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 1,031.85 = 380.01 : x
  2. Step 2: Convert to fraction form
    688.53/1,031.85 = 380.01/x
  3. Step 3: Cross multiply
    688.53x = 1,031.85 × 380.01
  4. Step 4: Simplify right side
    688.53x = 392,113.32
  5. Step 5: Solve for x
    x = 392,113.32/688.53
  6. Step 6: Final answer
    x = 569.49

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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.