Home / 1,524.61-2,290.56-977.86

Finding the Fourth Proportional to 1,524.61, 2,290.56 and 977.86

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Solution

The fourth proportional to 1,524.61, 2,290.56 and 977.86 is: 1,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.61 : 2,290.56 = 977.86 : x
  2. Step 2: Convert to fraction form
    1,524.61/2,290.56 = 977.86/x
  3. Step 3: Cross multiply
    1,524.61x = 2,290.56 × 977.86
  4. Step 4: Simplify right side
    1,524.61x = 2,239,841.28
  5. Step 5: Solve for x
    x = 2,239,841.28/1,524.61
  6. Step 6: Final answer
    x = 1,469.13

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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.