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Finding the Fourth Proportional to 540.47, 746.62 and 429.81

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Solution

The fourth proportional to 540.47, 746.62 and 429.81 is: 593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 746.62 = 429.81 : x
  2. Step 2: Convert to fraction form
    540.47/746.62 = 429.81/x
  3. Step 3: Cross multiply
    540.47x = 746.62 × 429.81
  4. Step 4: Simplify right side
    540.47x = 320,900.87
  5. Step 5: Solve for x
    x = 320,900.87/540.47
  6. Step 6: Final answer
    x = 593.74

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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.