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Finding the Fourth Proportional to 500.40, 691.03 and 383.76

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Solution

The fourth proportional to 500.40, 691.03 and 383.76 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 691.03 = 383.76 : x
  2. Step 2: Convert to fraction form
    500.40/691.03 = 383.76/x
  3. Step 3: Cross multiply
    500.40x = 691.03 × 383.76
  4. Step 4: Simplify right side
    500.40x = 265,187.75
  5. Step 5: Solve for x
    x = 265,187.75/500.40
  6. Step 6: Final answer
    x = 529.95

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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.