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Finding the Fourth Proportional to 1,624.91, 2,437.11 and 454.79

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Solution

The fourth proportional to 1,624.91, 2,437.11 and 454.79 is: 682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.91 : 2,437.11 = 454.79 : x
  2. Step 2: Convert to fraction form
    1,624.91/2,437.11 = 454.79/x
  3. Step 3: Cross multiply
    1,624.91x = 2,437.11 × 454.79
  4. Step 4: Simplify right side
    1,624.91x = 1,108,373.77
  5. Step 5: Solve for x
    x = 1,108,373.77/1,624.91
  6. Step 6: Final answer
    x = 682.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.