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Finding the Fourth Proportional to 1,010.96, 1,516.47 and 280.55

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Solution

The fourth proportional to 1,010.96, 1,516.47 and 280.55 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.96 : 1,516.47 = 280.55 : x
  2. Step 2: Convert to fraction form
    1,010.96/1,516.47 = 280.55/x
  3. Step 3: Cross multiply
    1,010.96x = 1,516.47 × 280.55
  4. Step 4: Simplify right side
    1,010.96x = 425,438.08
  5. Step 5: Solve for x
    x = 425,438.08/1,010.96
  6. Step 6: Final answer
    x = 420.82

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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.