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Finding the Fourth Proportional to 463.77, 695.05 and 341.46

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Solution

The fourth proportional to 463.77, 695.05 and 341.46 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.77 : 695.05 = 341.46 : x
  2. Step 2: Convert to fraction form
    463.77/695.05 = 341.46/x
  3. Step 3: Cross multiply
    463.77x = 695.05 × 341.46
  4. Step 4: Simplify right side
    463.77x = 237,330.92
  5. Step 5: Solve for x
    x = 237,330.92/463.77
  6. Step 6: Final answer
    x = 511.74

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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.