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Finding the Fourth Proportional to 691.18, 1,038.10 and 431.62

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Solution

The fourth proportional to 691.18, 1,038.10 and 431.62 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.18 : 1,038.10 = 431.62 : x
  2. Step 2: Convert to fraction form
    691.18/1,038.10 = 431.62/x
  3. Step 3: Cross multiply
    691.18x = 1,038.10 × 431.62
  4. Step 4: Simplify right side
    691.18x = 448,064.72
  5. Step 5: Solve for x
    x = 448,064.72/691.18
  6. Step 6: Final answer
    x = 648.26

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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.