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Finding the Fourth Proportional to 671.55, 926.53 and 514.14

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Solution

The fourth proportional to 671.55, 926.53 and 514.14 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.55 : 926.53 = 514.14 : x
  2. Step 2: Convert to fraction form
    671.55/926.53 = 514.14/x
  3. Step 3: Cross multiply
    671.55x = 926.53 × 514.14
  4. Step 4: Simplify right side
    671.55x = 476,366.13
  5. Step 5: Solve for x
    x = 476,366.13/671.55
  6. Step 6: Final answer
    x = 709.35

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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.