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Finding the Fourth Proportional to 671.10, 926.55 and 584.70

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Solution

The fourth proportional to 671.10, 926.55 and 584.70 is: 807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 926.55 = 584.70 : x
  2. Step 2: Convert to fraction form
    671.10/926.55 = 584.70/x
  3. Step 3: Cross multiply
    671.10x = 926.55 × 584.70
  4. Step 4: Simplify right side
    671.10x = 541,753.79
  5. Step 5: Solve for x
    x = 541,753.79/671.10
  6. Step 6: Final answer
    x = 807.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.