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Finding the Fourth Proportional to 462.88, 695.22 and 340.66

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Solution

The fourth proportional to 462.88, 695.22 and 340.66 is: 511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 695.22 = 340.66 : x
  2. Step 2: Convert to fraction form
    462.88/695.22 = 340.66/x
  3. Step 3: Cross multiply
    462.88x = 695.22 × 340.66
  4. Step 4: Simplify right side
    462.88x = 236,833.65
  5. Step 5: Solve for x
    x = 236,833.65/462.88
  6. Step 6: Final answer
    x = 511.65

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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.