Home / 1,582.81-2,374.26-487.19

Finding the Fourth Proportional to 1,582.81, 2,374.26 and 487.19

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Solution

The fourth proportional to 1,582.81, 2,374.26 and 487.19 is: 730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.81 : 2,374.26 = 487.19 : x
  2. Step 2: Convert to fraction form
    1,582.81/2,374.26 = 487.19/x
  3. Step 3: Cross multiply
    1,582.81x = 2,374.26 × 487.19
  4. Step 4: Simplify right side
    1,582.81x = 1,156,702.03
  5. Step 5: Solve for x
    x = 1,156,702.03/1,582.81
  6. Step 6: Final answer
    x = 730.79

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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.