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Finding the Fourth Proportional to 542.40, 749.06 and 467.56

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Solution

The fourth proportional to 542.40, 749.06 and 467.56 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 749.06 = 467.56 : x
  2. Step 2: Convert to fraction form
    542.40/749.06 = 467.56/x
  3. Step 3: Cross multiply
    542.40x = 749.06 × 467.56
  4. Step 4: Simplify right side
    542.40x = 350,230.49
  5. Step 5: Solve for x
    x = 350,230.49/542.40
  6. Step 6: Final answer
    x = 645.71

Related Problems

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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.