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Finding the Fourth Proportional to 728.19, 1,005.28 and 553.23

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Solution

The fourth proportional to 728.19, 1,005.28 and 553.23 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.19 : 1,005.28 = 553.23 : x
  2. Step 2: Convert to fraction form
    728.19/1,005.28 = 553.23/x
  3. Step 3: Cross multiply
    728.19x = 1,005.28 × 553.23
  4. Step 4: Simplify right side
    728.19x = 556,149.67
  5. Step 5: Solve for x
    x = 556,149.67/728.19
  6. Step 6: Final answer
    x = 763.74

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Double scale
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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.