Home / 1,516.85-2,276.30-542.95

Finding the Fourth Proportional to 1,516.85, 2,276.30 and 542.95

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Solution

The fourth proportional to 1,516.85, 2,276.30 and 542.95 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.85 : 2,276.30 = 542.95 : x
  2. Step 2: Convert to fraction form
    1,516.85/2,276.30 = 542.95/x
  3. Step 3: Cross multiply
    1,516.85x = 2,276.30 × 542.95
  4. Step 4: Simplify right side
    1,516.85x = 1,235,925.56
  5. Step 5: Solve for x
    x = 1,235,925.56/1,516.85
  6. Step 6: Final answer
    x = 814.80

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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.