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Finding the Fourth Proportional to 465.90, 695.20 and 463.20

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Solution

The fourth proportional to 465.90, 695.20 and 463.20 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 695.20 = 463.20 : x
  2. Step 2: Convert to fraction form
    465.90/695.20 = 463.20/x
  3. Step 3: Cross multiply
    465.90x = 695.20 × 463.20
  4. Step 4: Simplify right side
    465.90x = 322,016.64
  5. Step 5: Solve for x
    x = 322,016.64/465.90
  6. Step 6: Final answer
    x = 691.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.