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Finding the Fourth Proportional to 947.85, 1,419.72 and 459.88

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Solution

The fourth proportional to 947.85, 1,419.72 and 459.88 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.85 : 1,419.72 = 459.88 : x
  2. Step 2: Convert to fraction form
    947.85/1,419.72 = 459.88/x
  3. Step 3: Cross multiply
    947.85x = 1,419.72 × 459.88
  4. Step 4: Simplify right side
    947.85x = 652,900.83
  5. Step 5: Solve for x
    x = 652,900.83/947.85
  6. Step 6: Final answer
    x = 688.82

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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.