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Finding the Fourth Proportional to 552.95, 830.10 and 548.90

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Solution

The fourth proportional to 552.95, 830.10 and 548.90 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.95 : 830.10 = 548.90 : x
  2. Step 2: Convert to fraction form
    552.95/830.10 = 548.90/x
  3. Step 3: Cross multiply
    552.95x = 830.10 × 548.90
  4. Step 4: Simplify right side
    552.95x = 455,641.89
  5. Step 5: Solve for x
    x = 455,641.89/552.95
  6. Step 6: Final answer
    x = 824.02

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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.