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Finding the Fourth Proportional to 546.42, 748.98 and 538.73

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Solution

The fourth proportional to 546.42, 748.98 and 538.73 is: 738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 748.98 = 538.73 : x
  2. Step 2: Convert to fraction form
    546.42/748.98 = 538.73/x
  3. Step 3: Cross multiply
    546.42x = 748.98 × 538.73
  4. Step 4: Simplify right side
    546.42x = 403,501.27
  5. Step 5: Solve for x
    x = 403,501.27/546.42
  6. Step 6: Final answer
    x = 738.44

Related Problems

Find fourth proportional to 273.21, 374.49 and 269.37
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.