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Finding the Fourth Proportional to 968.50, 1,452.12 and 319.12

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Solution

The fourth proportional to 968.50, 1,452.12 and 319.12 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.50 : 1,452.12 = 319.12 : x
  2. Step 2: Convert to fraction form
    968.50/1,452.12 = 319.12/x
  3. Step 3: Cross multiply
    968.50x = 1,452.12 × 319.12
  4. Step 4: Simplify right side
    968.50x = 463,400.53
  5. Step 5: Solve for x
    x = 463,400.53/968.50
  6. Step 6: Final answer
    x = 478.47

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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.