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Finding the Fourth Proportional to 542.76, 748.02 and 449.52

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Solution

The fourth proportional to 542.76, 748.02 and 449.52 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 748.02 = 449.52 : x
  2. Step 2: Convert to fraction form
    542.76/748.02 = 449.52/x
  3. Step 3: Cross multiply
    542.76x = 748.02 × 449.52
  4. Step 4: Simplify right side
    542.76x = 336,249.95
  5. Step 5: Solve for x
    x = 336,249.95/542.76
  6. Step 6: Final answer
    x = 619.52

Related Problems

Find fourth proportional to 271.38, 374.01 and 224.76
Half scale
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Double scale
Find fourth proportional to 543.76, 749.40 and 450.52
Similar ratio
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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.