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Finding the Fourth Proportional to 742.93, 1,025.76 and 463.22

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Solution

The fourth proportional to 742.93, 1,025.76 and 463.22 is: 639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.93 : 1,025.76 = 463.22 : x
  2. Step 2: Convert to fraction form
    742.93/1,025.76 = 463.22/x
  3. Step 3: Cross multiply
    742.93x = 1,025.76 × 463.22
  4. Step 4: Simplify right side
    742.93x = 475,156.17
  5. Step 5: Solve for x
    x = 475,156.17/742.93
  6. Step 6: Final answer
    x = 639.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.