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Finding the Fourth Proportional to 947.89, 1,420.80 and 459.85

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Solution

The fourth proportional to 947.89, 1,420.80 and 459.85 is: 689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.89 : 1,420.80 = 459.85 : x
  2. Step 2: Convert to fraction form
    947.89/1,420.80 = 459.85/x
  3. Step 3: Cross multiply
    947.89x = 1,420.80 × 459.85
  4. Step 4: Simplify right side
    947.89x = 653,354.88
  5. Step 5: Solve for x
    x = 653,354.88/947.89
  6. Step 6: Final answer
    x = 689.27

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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.