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Finding the Fourth Proportional to 540.96, 747.26 and 431.20

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Solution

The fourth proportional to 540.96, 747.26 and 431.20 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 747.26 = 431.20 : x
  2. Step 2: Convert to fraction form
    540.96/747.26 = 431.20/x
  3. Step 3: Cross multiply
    540.96x = 747.26 × 431.20
  4. Step 4: Simplify right side
    540.96x = 322,218.51
  5. Step 5: Solve for x
    x = 322,218.51/540.96
  6. Step 6: Final answer
    x = 595.64

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Double scale
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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.