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Finding the Fourth Proportional to 463.13, 693.80 and 365.11

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Solution

The fourth proportional to 463.13, 693.80 and 365.11 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 693.80 = 365.11 : x
  2. Step 2: Convert to fraction form
    463.13/693.80 = 365.11/x
  3. Step 3: Cross multiply
    463.13x = 693.80 × 365.11
  4. Step 4: Simplify right side
    463.13x = 253,313.32
  5. Step 5: Solve for x
    x = 253,313.32/463.13
  6. Step 6: Final answer
    x = 546.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.