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Finding the Fourth Proportional to 691.18, 1,036.74 and 417.20

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Solution

The fourth proportional to 691.18, 1,036.74 and 417.20 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.18 : 1,036.74 = 417.20 : x
  2. Step 2: Convert to fraction form
    691.18/1,036.74 = 417.20/x
  3. Step 3: Cross multiply
    691.18x = 1,036.74 × 417.20
  4. Step 4: Simplify right side
    691.18x = 432,527.21
  5. Step 5: Solve for x
    x = 432,527.21/691.18
  6. Step 6: Final answer
    x = 625.78

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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.