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Finding the Fourth Proportional to 789.96, 1,090.02 and 527.88

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Solution

The fourth proportional to 789.96, 1,090.02 and 527.88 is: 728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.96 : 1,090.02 = 527.88 : x
  2. Step 2: Convert to fraction form
    789.96/1,090.02 = 527.88/x
  3. Step 3: Cross multiply
    789.96x = 1,090.02 × 527.88
  4. Step 4: Simplify right side
    789.96x = 575,399.76
  5. Step 5: Solve for x
    x = 575,399.76/789.96
  6. Step 6: Final answer
    x = 728.39

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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.