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Finding the Fourth Proportional to 691.44, 1,036.09 and 471.83

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Solution

The fourth proportional to 691.44, 1,036.09 and 471.83 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.44 : 1,036.09 = 471.83 : x
  2. Step 2: Convert to fraction form
    691.44/1,036.09 = 471.83/x
  3. Step 3: Cross multiply
    691.44x = 1,036.09 × 471.83
  4. Step 4: Simplify right side
    691.44x = 488,853.75
  5. Step 5: Solve for x
    x = 488,853.75/691.44
  6. Step 6: Final answer
    x = 707.01

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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.