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Finding the Fourth Proportional to 540.49, 746.16 and 407.56

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Solution

The fourth proportional to 540.49, 746.16 and 407.56 is: 562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 746.16 = 407.56 : x
  2. Step 2: Convert to fraction form
    540.49/746.16 = 407.56/x
  3. Step 3: Cross multiply
    540.49x = 746.16 × 407.56
  4. Step 4: Simplify right side
    540.49x = 304,103.17
  5. Step 5: Solve for x
    x = 304,103.17/540.49
  6. Step 6: Final answer
    x = 562.65

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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.