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Finding the Fourth Proportional to 542.93, 749.09 and 346.70

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Solution

The fourth proportional to 542.93, 749.09 and 346.70 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 749.09 = 346.70 : x
  2. Step 2: Convert to fraction form
    542.93/749.09 = 346.70/x
  3. Step 3: Cross multiply
    542.93x = 749.09 × 346.70
  4. Step 4: Simplify right side
    542.93x = 259,704.02
  5. Step 5: Solve for x
    x = 259,704.02/542.93
  6. Step 6: Final answer
    x = 478.34

Related Problems

Find fourth proportional to 271.46, 374.54 and 173.35
Half scale
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Double scale
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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.