Home / 1,582.71-2,374.10-543.91

Finding the Fourth Proportional to 1,582.71, 2,374.10 and 543.91

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Solution

The fourth proportional to 1,582.71, 2,374.10 and 543.91 is: 815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.71 : 2,374.10 = 543.91 : x
  2. Step 2: Convert to fraction form
    1,582.71/2,374.10 = 543.91/x
  3. Step 3: Cross multiply
    1,582.71x = 2,374.10 × 543.91
  4. Step 4: Simplify right side
    1,582.71x = 1,291,296.73
  5. Step 5: Solve for x
    x = 1,291,296.73/1,582.71
  6. Step 6: Final answer
    x = 815.88

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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.