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Finding the Fourth Proportional to 468.20, 700.56 and 283.20

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Solution

The fourth proportional to 468.20, 700.56 and 283.20 is: 423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 700.56 = 283.20 : x
  2. Step 2: Convert to fraction form
    468.20/700.56 = 283.20/x
  3. Step 3: Cross multiply
    468.20x = 700.56 × 283.20
  4. Step 4: Simplify right side
    468.20x = 198,398.59
  5. Step 5: Solve for x
    x = 198,398.59/468.20
  6. Step 6: Final answer
    x = 423.75

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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.