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Finding the Fourth Proportional to 968.41, 1,445.14 and 864.58

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Solution

The fourth proportional to 968.41, 1,445.14 and 864.58 is: 1,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.41 : 1,445.14 = 864.58 : x
  2. Step 2: Convert to fraction form
    968.41/1,445.14 = 864.58/x
  3. Step 3: Cross multiply
    968.41x = 1,445.14 × 864.58
  4. Step 4: Simplify right side
    968.41x = 1,249,439.14
  5. Step 5: Solve for x
    x = 1,249,439.14/968.41
  6. Step 6: Final answer
    x = 1,290.20

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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.