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Finding the Fourth Proportional to 691.05, 1,036.41 and 417.21

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Solution

The fourth proportional to 691.05, 1,036.41 and 417.21 is: 625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.05 : 1,036.41 = 417.21 : x
  2. Step 2: Convert to fraction form
    691.05/1,036.41 = 417.21/x
  3. Step 3: Cross multiply
    691.05x = 1,036.41 × 417.21
  4. Step 4: Simplify right side
    691.05x = 432,398.53
  5. Step 5: Solve for x
    x = 432,398.53/691.05
  6. Step 6: Final answer
    x = 625.72

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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.