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Finding the Fourth Proportional to 437.85, 652.28 and 425.10

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Solution

The fourth proportional to 437.85, 652.28 and 425.10 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 652.28 = 425.10 : x
  2. Step 2: Convert to fraction form
    437.85/652.28 = 425.10/x
  3. Step 3: Cross multiply
    437.85x = 652.28 × 425.10
  4. Step 4: Simplify right side
    437.85x = 277,282.10
  5. Step 5: Solve for x
    x = 277,282.10/437.85
  6. Step 6: Final answer
    x = 633.28

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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.