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Finding the Fourth Proportional to 552.24, 822.60 and 527.28

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Solution

The fourth proportional to 552.24, 822.60 and 527.28 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 822.60 = 527.28 : x
  2. Step 2: Convert to fraction form
    552.24/822.60 = 527.28/x
  3. Step 3: Cross multiply
    552.24x = 822.60 × 527.28
  4. Step 4: Simplify right side
    552.24x = 433,740.53
  5. Step 5: Solve for x
    x = 433,740.53/552.24
  6. Step 6: Final answer
    x = 785.42

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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.