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Finding the Fourth Proportional to 710.98, 1,067.08 and 528.74

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Solution

The fourth proportional to 710.98, 1,067.08 and 528.74 is: 793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.98 : 1,067.08 = 528.74 : x
  2. Step 2: Convert to fraction form
    710.98/1,067.08 = 528.74/x
  3. Step 3: Cross multiply
    710.98x = 1,067.08 × 528.74
  4. Step 4: Simplify right side
    710.98x = 564,207.88
  5. Step 5: Solve for x
    x = 564,207.88/710.98
  6. Step 6: Final answer
    x = 793.56

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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.