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Finding the Fourth Proportional to 623.30, 933.11 and 461.71

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Solution

The fourth proportional to 623.30, 933.11 and 461.71 is: 691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.30 : 933.11 = 461.71 : x
  2. Step 2: Convert to fraction form
    623.30/933.11 = 461.71/x
  3. Step 3: Cross multiply
    623.30x = 933.11 × 461.71
  4. Step 4: Simplify right side
    623.30x = 430,819.24
  5. Step 5: Solve for x
    x = 430,819.24/623.30
  6. Step 6: Final answer
    x = 691.19

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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.