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Finding the Fourth Proportional to 968.13, 1,335.01 and 575.08

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Solution

The fourth proportional to 968.13, 1,335.01 and 575.08 is: 793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.13 : 1,335.01 = 575.08 : x
  2. Step 2: Convert to fraction form
    968.13/1,335.01 = 575.08/x
  3. Step 3: Cross multiply
    968.13x = 1,335.01 × 575.08
  4. Step 4: Simplify right side
    968.13x = 767,737.55
  5. Step 5: Solve for x
    x = 767,737.55/968.13
  6. Step 6: Final answer
    x = 793.01

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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.