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Finding the Fourth Proportional to 688, 1,032.48 and 460.48

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Solution

The fourth proportional to 688, 1,032.48 and 460.48 is: 691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,032.48 = 460.48 : x
  2. Step 2: Convert to fraction form
    688/1,032.48 = 460.48/x
  3. Step 3: Cross multiply
    688x = 1,032.48 × 460.48
  4. Step 4: Simplify right side
    688x = 475,436.39
  5. Step 5: Solve for x
    x = 475,436.39/688
  6. Step 6: Final answer
    x = 691.04

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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.