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Finding the Fourth Proportional to 968.16, 1,335.80 and 595.28

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Solution

The fourth proportional to 968.16, 1,335.80 and 595.28 is: 821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,335.80 = 595.28 : x
  2. Step 2: Convert to fraction form
    968.16/1,335.80 = 595.28/x
  3. Step 3: Cross multiply
    968.16x = 1,335.80 × 595.28
  4. Step 4: Simplify right side
    968.16x = 795,175.02
  5. Step 5: Solve for x
    x = 795,175.02/968.16
  6. Step 6: Final answer
    x = 821.33

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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.