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Finding the Fourth Proportional to 968.55, 1,445.72 and 832.47

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Solution

The fourth proportional to 968.55, 1,445.72 and 832.47 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.55 : 1,445.72 = 832.47 : x
  2. Step 2: Convert to fraction form
    968.55/1,445.72 = 832.47/x
  3. Step 3: Cross multiply
    968.55x = 1,445.72 × 832.47
  4. Step 4: Simplify right side
    968.55x = 1,203,518.53
  5. Step 5: Solve for x
    x = 1,203,518.53/968.55
  6. Step 6: Final answer
    x = 1,242.60

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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.