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Finding the Fourth Proportional to 688.64, 1,032.48 and 380.56

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Solution

The fourth proportional to 688.64, 1,032.48 and 380.56 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.64 : 1,032.48 = 380.56 : x
  2. Step 2: Convert to fraction form
    688.64/1,032.48 = 380.56/x
  3. Step 3: Cross multiply
    688.64x = 1,032.48 × 380.56
  4. Step 4: Simplify right side
    688.64x = 392,920.59
  5. Step 5: Solve for x
    x = 392,920.59/688.64
  6. Step 6: Final answer
    x = 570.57

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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.