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Finding the Fourth Proportional to 463.74, 696.31 and 291.50

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Solution

The fourth proportional to 463.74, 696.31 and 291.50 is: 437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.74 : 696.31 = 291.50 : x
  2. Step 2: Convert to fraction form
    463.74/696.31 = 291.50/x
  3. Step 3: Cross multiply
    463.74x = 696.31 × 291.50
  4. Step 4: Simplify right side
    463.74x = 202,975.38
  5. Step 5: Solve for x
    x = 202,975.38/463.74
  6. Step 6: Final answer
    x = 437.69

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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.