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Finding the Fourth Proportional to 691.58, 1,038.27 and 634.26

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Solution

The fourth proportional to 691.58, 1,038.27 and 634.26 is: 952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.58 : 1,038.27 = 634.26 : x
  2. Step 2: Convert to fraction form
    691.58/1,038.27 = 634.26/x
  3. Step 3: Cross multiply
    691.58x = 1,038.27 × 634.26
  4. Step 4: Simplify right side
    691.58x = 658,533.13
  5. Step 5: Solve for x
    x = 658,533.13/691.58
  6. Step 6: Final answer
    x = 952.22

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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.