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Finding the Fourth Proportional to 746.31, 1,029.78 and 414.68

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Solution

The fourth proportional to 746.31, 1,029.78 and 414.68 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.31 : 1,029.78 = 414.68 : x
  2. Step 2: Convert to fraction form
    746.31/1,029.78 = 414.68/x
  3. Step 3: Cross multiply
    746.31x = 1,029.78 × 414.68
  4. Step 4: Simplify right side
    746.31x = 427,024.02
  5. Step 5: Solve for x
    x = 427,024.02/746.31
  6. Step 6: Final answer
    x = 572.18

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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.