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Finding the Fourth Proportional to 968.42, 1,335.56 and 771.60

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Solution

The fourth proportional to 968.42, 1,335.56 and 771.60 is: 1,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.42 : 1,335.56 = 771.60 : x
  2. Step 2: Convert to fraction form
    968.42/1,335.56 = 771.60/x
  3. Step 3: Cross multiply
    968.42x = 1,335.56 × 771.60
  4. Step 4: Simplify right side
    968.42x = 1,030,518.10
  5. Step 5: Solve for x
    x = 1,030,518.10/968.42
  6. Step 6: Final answer
    x = 1,064.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.