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Finding the Fourth Proportional to 542.20, 812.36 and 456.10

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Solution

The fourth proportional to 542.20, 812.36 and 456.10 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.20 : 812.36 = 456.10 : x
  2. Step 2: Convert to fraction form
    542.20/812.36 = 456.10/x
  3. Step 3: Cross multiply
    542.20x = 812.36 × 456.10
  4. Step 4: Simplify right side
    542.20x = 370,517.40
  5. Step 5: Solve for x
    x = 370,517.40/542.20
  6. Step 6: Final answer
    x = 683.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.