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Finding the Fourth Proportional to 968.15, 1,335.57 and 574.90

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Solution

The fourth proportional to 968.15, 1,335.57 and 574.90 is: 793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.15 : 1,335.57 = 574.90 : x
  2. Step 2: Convert to fraction form
    968.15/1,335.57 = 574.90/x
  3. Step 3: Cross multiply
    968.15x = 1,335.57 × 574.90
  4. Step 4: Simplify right side
    968.15x = 767,819.19
  5. Step 5: Solve for x
    x = 767,819.19/968.15
  6. Step 6: Final answer
    x = 793.08

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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.