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Finding the Fourth Proportional to 1,582.26, 2,372.78 and 632.13

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Solution

The fourth proportional to 1,582.26, 2,372.78 and 632.13 is: 947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.26 : 2,372.78 = 632.13 : x
  2. Step 2: Convert to fraction form
    1,582.26/2,372.78 = 632.13/x
  3. Step 3: Cross multiply
    1,582.26x = 2,372.78 × 632.13
  4. Step 4: Simplify right side
    1,582.26x = 1,499,898.10
  5. Step 5: Solve for x
    x = 1,499,898.10/1,582.26
  6. Step 6: Final answer
    x = 947.95

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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.