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Finding the Fourth Proportional to 730.03, 1,005.93 and 676.90

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Solution

The fourth proportional to 730.03, 1,005.93 and 676.90 is: 932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.03 : 1,005.93 = 676.90 : x
  2. Step 2: Convert to fraction form
    730.03/1,005.93 = 676.90/x
  3. Step 3: Cross multiply
    730.03x = 1,005.93 × 676.90
  4. Step 4: Simplify right side
    730.03x = 680,914.02
  5. Step 5: Solve for x
    x = 680,914.02/730.03
  6. Step 6: Final answer
    x = 932.72

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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.