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Finding the Fourth Proportional to 542.90, 749.45 and 385.67

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Solution

The fourth proportional to 542.90, 749.45 and 385.67 is: 532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 749.45 = 385.67 : x
  2. Step 2: Convert to fraction form
    542.90/749.45 = 385.67/x
  3. Step 3: Cross multiply
    542.90x = 749.45 × 385.67
  4. Step 4: Simplify right side
    542.90x = 289,043.22
  5. Step 5: Solve for x
    x = 289,043.22/542.90
  6. Step 6: Final answer
    x = 532.40

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.