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Finding the Fourth Proportional to 540.78, 746.37 and 522.78

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Solution

The fourth proportional to 540.78, 746.37 and 522.78 is: 721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 746.37 = 522.78 : x
  2. Step 2: Convert to fraction form
    540.78/746.37 = 522.78/x
  3. Step 3: Cross multiply
    540.78x = 746.37 × 522.78
  4. Step 4: Simplify right side
    540.78x = 390,187.31
  5. Step 5: Solve for x
    x = 390,187.31/540.78
  6. Step 6: Final answer
    x = 721.53

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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.