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Finding the Fourth Proportional to 637.10, 955.65 and 442.70

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Solution

The fourth proportional to 637.10, 955.65 and 442.70 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.10 : 955.65 = 442.70 : x
  2. Step 2: Convert to fraction form
    637.10/955.65 = 442.70/x
  3. Step 3: Cross multiply
    637.10x = 955.65 × 442.70
  4. Step 4: Simplify right side
    637.10x = 423,066.26
  5. Step 5: Solve for x
    x = 423,066.26/637.10
  6. Step 6: Final answer
    x = 664.05

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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.