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Finding the Fourth Proportional to 691.42, 1,036.71 and 431.83

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Solution

The fourth proportional to 691.42, 1,036.71 and 431.83 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.42 : 1,036.71 = 431.83 : x
  2. Step 2: Convert to fraction form
    691.42/1,036.71 = 431.83/x
  3. Step 3: Cross multiply
    691.42x = 1,036.71 × 431.83
  4. Step 4: Simplify right side
    691.42x = 447,682.48
  5. Step 5: Solve for x
    x = 447,682.48/691.42
  6. Step 6: Final answer
    x = 647.48

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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.