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Finding the Fourth Proportional to 462.92, 695.28 and 309.83

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Solution

The fourth proportional to 462.92, 695.28 and 309.83 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 695.28 = 309.83 : x
  2. Step 2: Convert to fraction form
    462.92/695.28 = 309.83/x
  3. Step 3: Cross multiply
    462.92x = 695.28 × 309.83
  4. Step 4: Simplify right side
    462.92x = 215,416.29
  5. Step 5: Solve for x
    x = 215,416.29/462.92
  6. Step 6: Final answer
    x = 465.35

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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.