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Finding the Fourth Proportional to 542.60, 812.30 and 478.60

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Solution

The fourth proportional to 542.60, 812.30 and 478.60 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 812.30 = 478.60 : x
  2. Step 2: Convert to fraction form
    542.60/812.30 = 478.60/x
  3. Step 3: Cross multiply
    542.60x = 812.30 × 478.60
  4. Step 4: Simplify right side
    542.60x = 388,766.78
  5. Step 5: Solve for x
    x = 388,766.78/542.60
  6. Step 6: Final answer
    x = 716.49

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.