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Finding the Fourth Proportional to 553.32, 825.23 and 524.16

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Solution

The fourth proportional to 553.32, 825.23 and 524.16 is: 781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.32 : 825.23 = 524.16 : x
  2. Step 2: Convert to fraction form
    553.32/825.23 = 524.16/x
  3. Step 3: Cross multiply
    553.32x = 825.23 × 524.16
  4. Step 4: Simplify right side
    553.32x = 432,553.87
  5. Step 5: Solve for x
    x = 432,553.87/553.32
  6. Step 6: Final answer
    x = 781.74

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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.