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Finding the Fourth Proportional to 628.56, 939.60 and 542.88

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Solution

The fourth proportional to 628.56, 939.60 and 542.88 is: 811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 939.60 = 542.88 : x
  2. Step 2: Convert to fraction form
    628.56/939.60 = 542.88/x
  3. Step 3: Cross multiply
    628.56x = 939.60 × 542.88
  4. Step 4: Simplify right side
    628.56x = 510,090.05
  5. Step 5: Solve for x
    x = 510,090.05/628.56
  6. Step 6: Final answer
    x = 811.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.