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Finding the Fourth Proportional to 728.96, 1,010.96 and 703.04

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Solution

The fourth proportional to 728.96, 1,010.96 and 703.04 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,010.96 = 703.04 : x
  2. Step 2: Convert to fraction form
    728.96/1,010.96 = 703.04/x
  3. Step 3: Cross multiply
    728.96x = 1,010.96 × 703.04
  4. Step 4: Simplify right side
    728.96x = 710,745.32
  5. Step 5: Solve for x
    x = 710,745.32/728.96
  6. Step 6: Final answer
    x = 975.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.