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Finding the Fourth Proportional to 1,011.06, 1,516.62 and 280.64

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Solution

The fourth proportional to 1,011.06, 1,516.62 and 280.64 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.06 : 1,516.62 = 280.64 : x
  2. Step 2: Convert to fraction form
    1,011.06/1,516.62 = 280.64/x
  3. Step 3: Cross multiply
    1,011.06x = 1,516.62 × 280.64
  4. Step 4: Simplify right side
    1,011.06x = 425,616.65
  5. Step 5: Solve for x
    x = 425,616.65/1,011.06
  6. Step 6: Final answer
    x = 420.96

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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.