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Finding the Fourth Proportional to 947.59, 1,421.65 and 687.85

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Solution

The fourth proportional to 947.59, 1,421.65 and 687.85 is: 1,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.59 : 1,421.65 = 687.85 : x
  2. Step 2: Convert to fraction form
    947.59/1,421.65 = 687.85/x
  3. Step 3: Cross multiply
    947.59x = 1,421.65 × 687.85
  4. Step 4: Simplify right side
    947.59x = 977,873.12
  5. Step 5: Solve for x
    x = 977,873.12/947.59
  6. Step 6: Final answer
    x = 1,031.96

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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.