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Finding the Fourth Proportional to 542.65, 749.05 and 403.23

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Solution

The fourth proportional to 542.65, 749.05 and 403.23 is: 556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 749.05 = 403.23 : x
  2. Step 2: Convert to fraction form
    542.65/749.05 = 403.23/x
  3. Step 3: Cross multiply
    542.65x = 749.05 × 403.23
  4. Step 4: Simplify right side
    542.65x = 302,037.02
  5. Step 5: Solve for x
    x = 302,037.02/542.65
  6. Step 6: Final answer
    x = 556.60

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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.