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Finding the Fourth Proportional to 437.48, 599.42 and 431.70

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Solution

The fourth proportional to 437.48, 599.42 and 431.70 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.48 : 599.42 = 431.70 : x
  2. Step 2: Convert to fraction form
    437.48/599.42 = 431.70/x
  3. Step 3: Cross multiply
    437.48x = 599.42 × 431.70
  4. Step 4: Simplify right side
    437.48x = 258,769.61
  5. Step 5: Solve for x
    x = 258,769.61/437.48
  6. Step 6: Final answer
    x = 591.50

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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.