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Finding the Fourth Proportional to 981.63, 1,472.78 and 549.09

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Solution

The fourth proportional to 981.63, 1,472.78 and 549.09 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.63 : 1,472.78 = 549.09 : x
  2. Step 2: Convert to fraction form
    981.63/1,472.78 = 549.09/x
  3. Step 3: Cross multiply
    981.63x = 1,472.78 × 549.09
  4. Step 4: Simplify right side
    981.63x = 808,688.77
  5. Step 5: Solve for x
    x = 808,688.77/981.63
  6. Step 6: Final answer
    x = 823.82

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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.