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Finding the Fourth Proportional to 457.59, 690.44 and 437.61

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Solution

The fourth proportional to 457.59, 690.44 and 437.61 is: 660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 690.44 = 437.61 : x
  2. Step 2: Convert to fraction form
    457.59/690.44 = 437.61/x
  3. Step 3: Cross multiply
    457.59x = 690.44 × 437.61
  4. Step 4: Simplify right side
    457.59x = 302,144.54
  5. Step 5: Solve for x
    x = 302,144.54/457.59
  6. Step 6: Final answer
    x = 660.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.