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Finding the Fourth Proportional to 1,011.06, 1,516.62 and 549.06

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Solution

The fourth proportional to 1,011.06, 1,516.62 and 549.06 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.06 : 1,516.62 = 549.06 : x
  2. Step 2: Convert to fraction form
    1,011.06/1,516.62 = 549.06/x
  3. Step 3: Cross multiply
    1,011.06x = 1,516.62 × 549.06
  4. Step 4: Simplify right side
    1,011.06x = 832,715.38
  5. Step 5: Solve for x
    x = 832,715.38/1,011.06
  6. Step 6: Final answer
    x = 823.61

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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.