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Finding the Fourth Proportional to 730.86, 1,006.56 and 676.14

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Solution

The fourth proportional to 730.86, 1,006.56 and 676.14 is: 931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,006.56 = 676.14 : x
  2. Step 2: Convert to fraction form
    730.86/1,006.56 = 676.14/x
  3. Step 3: Cross multiply
    730.86x = 1,006.56 × 676.14
  4. Step 4: Simplify right side
    730.86x = 680,575.48
  5. Step 5: Solve for x
    x = 680,575.48/730.86
  6. Step 6: Final answer
    x = 931.20

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1.5x scale

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.