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Finding the Fourth Proportional to 728.47, 1,091.55 and 509.54

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Solution

The fourth proportional to 728.47, 1,091.55 and 509.54 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.47 : 1,091.55 = 509.54 : x
  2. Step 2: Convert to fraction form
    728.47/1,091.55 = 509.54/x
  3. Step 3: Cross multiply
    728.47x = 1,091.55 × 509.54
  4. Step 4: Simplify right side
    728.47x = 556,189.55
  5. Step 5: Solve for x
    x = 556,189.55/728.47
  6. Step 6: Final answer
    x = 763.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.