Home / 1,582.72-2,374.10-556.48

Finding the Fourth Proportional to 1,582.72, 2,374.10 and 556.48

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Solution

The fourth proportional to 1,582.72, 2,374.10 and 556.48 is: 834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.72 : 2,374.10 = 556.48 : x
  2. Step 2: Convert to fraction form
    1,582.72/2,374.10 = 556.48/x
  3. Step 3: Cross multiply
    1,582.72x = 2,374.10 × 556.48
  4. Step 4: Simplify right side
    1,582.72x = 1,321,139.17
  5. Step 5: Solve for x
    x = 1,321,139.17/1,582.72
  6. Step 6: Final answer
    x = 834.73

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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.