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Finding the Fourth Proportional to 651.84, 981.63 and 549.78

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Solution

The fourth proportional to 651.84, 981.63 and 549.78 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 981.63 = 549.78 : x
  2. Step 2: Convert to fraction form
    651.84/981.63 = 549.78/x
  3. Step 3: Cross multiply
    651.84x = 981.63 × 549.78
  4. Step 4: Simplify right side
    651.84x = 539,680.54
  5. Step 5: Solve for x
    x = 539,680.54/651.84
  6. Step 6: Final answer
    x = 827.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.