Home / 1,587.19-2,380.11-546.91

Finding the Fourth Proportional to 1,587.19, 2,380.11 and 546.91

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Solution

The fourth proportional to 1,587.19, 2,380.11 and 546.91 is: 820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.19 : 2,380.11 = 546.91 : x
  2. Step 2: Convert to fraction form
    1,587.19/2,380.11 = 546.91/x
  3. Step 3: Cross multiply
    1,587.19x = 2,380.11 × 546.91
  4. Step 4: Simplify right side
    1,587.19x = 1,301,705.96
  5. Step 5: Solve for x
    x = 1,301,705.96/1,587.19
  6. Step 6: Final answer
    x = 820.13

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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.