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Finding the Fourth Proportional to 688, 1,032.72 and 380.08

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Solution

The fourth proportional to 688, 1,032.72 and 380.08 is: 570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,032.72 = 380.08 : x
  2. Step 2: Convert to fraction form
    688/1,032.72 = 380.08/x
  3. Step 3: Cross multiply
    688x = 1,032.72 × 380.08
  4. Step 4: Simplify right side
    688x = 392,516.22
  5. Step 5: Solve for x
    x = 392,516.22/688
  6. Step 6: Final answer
    x = 570.52

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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.