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Finding the Fourth Proportional to 542.84, 748.85 and 356.34

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Solution

The fourth proportional to 542.84, 748.85 and 356.34 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 748.85 = 356.34 : x
  2. Step 2: Convert to fraction form
    542.84/748.85 = 356.34/x
  3. Step 3: Cross multiply
    542.84x = 748.85 × 356.34
  4. Step 4: Simplify right side
    542.84x = 266,845.21
  5. Step 5: Solve for x
    x = 266,845.21/542.84
  6. Step 6: Final answer
    x = 491.57

Related Problems

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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.