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Finding the Fourth Proportional to 547.77, 759.76 and 529.24

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Solution

The fourth proportional to 547.77, 759.76 and 529.24 is: 734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.77 : 759.76 = 529.24 : x
  2. Step 2: Convert to fraction form
    547.77/759.76 = 529.24/x
  3. Step 3: Cross multiply
    547.77x = 759.76 × 529.24
  4. Step 4: Simplify right side
    547.77x = 402,095.38
  5. Step 5: Solve for x
    x = 402,095.38/547.77
  6. Step 6: Final answer
    x = 734.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.