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Finding the Fourth Proportional to 945.83, 1,418.85 and 458.55

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Solution

The fourth proportional to 945.83, 1,418.85 and 458.55 is: 687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,418.85 = 458.55 : x
  2. Step 2: Convert to fraction form
    945.83/1,418.85 = 458.55/x
  3. Step 3: Cross multiply
    945.83x = 1,418.85 × 458.55
  4. Step 4: Simplify right side
    945.83x = 650,613.67
  5. Step 5: Solve for x
    x = 650,613.67/945.83
  6. Step 6: Final answer
    x = 687.88

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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.