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Finding the Fourth Proportional to 691.59, 1,036.30 and 483.15

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Solution

The fourth proportional to 691.59, 1,036.30 and 483.15 is: 723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.59 : 1,036.30 = 483.15 : x
  2. Step 2: Convert to fraction form
    691.59/1,036.30 = 483.15/x
  3. Step 3: Cross multiply
    691.59x = 1,036.30 × 483.15
  4. Step 4: Simplify right side
    691.59x = 500,688.35
  5. Step 5: Solve for x
    x = 500,688.35/691.59
  6. Step 6: Final answer
    x = 723.97

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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.