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Finding the Fourth Proportional to 728.26, 1,011.98 and 720.77

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Solution

The fourth proportional to 728.26, 1,011.98 and 720.77 is: 1,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.26 : 1,011.98 = 720.77 : x
  2. Step 2: Convert to fraction form
    728.26/1,011.98 = 720.77/x
  3. Step 3: Cross multiply
    728.26x = 1,011.98 × 720.77
  4. Step 4: Simplify right side
    728.26x = 729,397.51
  5. Step 5: Solve for x
    x = 729,397.51/728.26
  6. Step 6: Final answer
    x = 1,001.57

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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.