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Finding the Fourth Proportional to 437.70, 606.89 and 424.95

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Solution

The fourth proportional to 437.70, 606.89 and 424.95 is: 589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.70 : 606.89 = 424.95 : x
  2. Step 2: Convert to fraction form
    437.70/606.89 = 424.95/x
  3. Step 3: Cross multiply
    437.70x = 606.89 × 424.95
  4. Step 4: Simplify right side
    437.70x = 257,896.69
  5. Step 5: Solve for x
    x = 257,896.69/437.70
  6. Step 6: Final answer
    x = 589.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.