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Finding the Fourth Proportional to 691.32, 1,036.50 and 417.48

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Solution

The fourth proportional to 691.32, 1,036.50 and 417.48 is: 625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.32 : 1,036.50 = 417.48 : x
  2. Step 2: Convert to fraction form
    691.32/1,036.50 = 417.48/x
  3. Step 3: Cross multiply
    691.32x = 1,036.50 × 417.48
  4. Step 4: Simplify right side
    691.32x = 432,718.02
  5. Step 5: Solve for x
    x = 432,718.02/691.32
  6. Step 6: Final answer
    x = 625.93

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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.