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Finding the Fourth Proportional to 790.26, 1,090.79 and 542.21

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Solution

The fourth proportional to 790.26, 1,090.79 and 542.21 is: 748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.26 : 1,090.79 = 542.21 : x
  2. Step 2: Convert to fraction form
    790.26/1,090.79 = 542.21/x
  3. Step 3: Cross multiply
    790.26x = 1,090.79 × 542.21
  4. Step 4: Simplify right side
    790.26x = 591,429.08
  5. Step 5: Solve for x
    x = 591,429.08/790.26
  6. Step 6: Final answer
    x = 748.40

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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.