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Finding the Fourth Proportional to 463.19, 695.61 and 442.94

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Solution

The fourth proportional to 463.19, 695.61 and 442.94 is: 665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 695.61 = 442.94 : x
  2. Step 2: Convert to fraction form
    463.19/695.61 = 442.94/x
  3. Step 3: Cross multiply
    463.19x = 695.61 × 442.94
  4. Step 4: Simplify right side
    463.19x = 308,110.02
  5. Step 5: Solve for x
    x = 308,110.02/463.19
  6. Step 6: Final answer
    x = 665.20

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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.