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Finding the Fourth Proportional to 1,171.46, 1,613.90 and 970.98

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Solution

The fourth proportional to 1,171.46, 1,613.90 and 970.98 is: 1,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.46 : 1,613.90 = 970.98 : x
  2. Step 2: Convert to fraction form
    1,171.46/1,613.90 = 970.98/x
  3. Step 3: Cross multiply
    1,171.46x = 1,613.90 × 970.98
  4. Step 4: Simplify right side
    1,171.46x = 1,567,064.62
  5. Step 5: Solve for x
    x = 1,567,064.62/1,171.46
  6. Step 6: Final answer
    x = 1,337.70

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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.