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Finding the Fourth Proportional to 463.14, 697.86 and 383.76

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Solution

The fourth proportional to 463.14, 697.86 and 383.76 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 697.86 = 383.76 : x
  2. Step 2: Convert to fraction form
    463.14/697.86 = 383.76/x
  3. Step 3: Cross multiply
    463.14x = 697.86 × 383.76
  4. Step 4: Simplify right side
    463.14x = 267,810.75
  5. Step 5: Solve for x
    x = 267,810.75/463.14
  6. Step 6: Final answer
    x = 578.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.