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Finding the Fourth Proportional to 941.40, 1,412.10 and 865.80

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Solution

The fourth proportional to 941.40, 1,412.10 and 865.80 is: 1,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,412.10 = 865.80 : x
  2. Step 2: Convert to fraction form
    941.40/1,412.10 = 865.80/x
  3. Step 3: Cross multiply
    941.40x = 1,412.10 × 865.80
  4. Step 4: Simplify right side
    941.40x = 1,222,596.18
  5. Step 5: Solve for x
    x = 1,222,596.18/941.40
  6. Step 6: Final answer
    x = 1,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.