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Finding the Fourth Proportional to 549.87, 820.64 and 527.55

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Solution

The fourth proportional to 549.87, 820.64 and 527.55 is: 787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.87 : 820.64 = 527.55 : x
  2. Step 2: Convert to fraction form
    549.87/820.64 = 527.55/x
  3. Step 3: Cross multiply
    549.87x = 820.64 × 527.55
  4. Step 4: Simplify right side
    549.87x = 432,928.63
  5. Step 5: Solve for x
    x = 432,928.63/549.87
  6. Step 6: Final answer
    x = 787.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.