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Finding the Fourth Proportional to 442.60, 660.05 and 437.80

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Solution

The fourth proportional to 442.60, 660.05 and 437.80 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 660.05 = 437.80 : x
  2. Step 2: Convert to fraction form
    442.60/660.05 = 437.80/x
  3. Step 3: Cross multiply
    442.60x = 660.05 × 437.80
  4. Step 4: Simplify right side
    442.60x = 288,969.89
  5. Step 5: Solve for x
    x = 288,969.89/442.60
  6. Step 6: Final answer
    x = 652.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.