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Finding the Fourth Proportional to 712.88, 984.18 and 500.52

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Solution

The fourth proportional to 712.88, 984.18 and 500.52 is: 691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 984.18 = 500.52 : x
  2. Step 2: Convert to fraction form
    712.88/984.18 = 500.52/x
  3. Step 3: Cross multiply
    712.88x = 984.18 × 500.52
  4. Step 4: Simplify right side
    712.88x = 492,601.77
  5. Step 5: Solve for x
    x = 492,601.77/712.88
  6. Step 6: Final answer
    x = 691.00

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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.