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Finding the Fourth Proportional to 464.40, 637.20 and 437.40

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Solution

The fourth proportional to 464.40, 637.20 and 437.40 is: 600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 637.20 = 437.40 : x
  2. Step 2: Convert to fraction form
    464.40/637.20 = 437.40/x
  3. Step 3: Cross multiply
    464.40x = 637.20 × 437.40
  4. Step 4: Simplify right side
    464.40x = 278,711.28
  5. Step 5: Solve for x
    x = 278,711.28/464.40
  6. Step 6: Final answer
    x = 600.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.