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Finding the Fourth Proportional to 968.10, 1,445.59 and 760.33

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Solution

The fourth proportional to 968.10, 1,445.59 and 760.33 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.10 : 1,445.59 = 760.33 : x
  2. Step 2: Convert to fraction form
    968.10/1,445.59 = 760.33/x
  3. Step 3: Cross multiply
    968.10x = 1,445.59 × 760.33
  4. Step 4: Simplify right side
    968.10x = 1,099,128.20
  5. Step 5: Solve for x
    x = 1,099,128.20/968.10
  6. Step 6: Final answer
    x = 1,135.35

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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.