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Finding the Fourth Proportional to 968.57, 1,336.14 and 575.45

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Solution

The fourth proportional to 968.57, 1,336.14 and 575.45 is: 793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.57 : 1,336.14 = 575.45 : x
  2. Step 2: Convert to fraction form
    968.57/1,336.14 = 575.45/x
  3. Step 3: Cross multiply
    968.57x = 1,336.14 × 575.45
  4. Step 4: Simplify right side
    968.57x = 768,881.76
  5. Step 5: Solve for x
    x = 768,881.76/968.57
  6. Step 6: Final answer
    x = 793.83

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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.