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Finding the Fourth Proportional to 1,044.48, 1,441.70 and 646.27

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Solution

The fourth proportional to 1,044.48, 1,441.70 and 646.27 is: 892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.48 : 1,441.70 = 646.27 : x
  2. Step 2: Convert to fraction form
    1,044.48/1,441.70 = 646.27/x
  3. Step 3: Cross multiply
    1,044.48x = 1,441.70 × 646.27
  4. Step 4: Simplify right side
    1,044.48x = 931,727.46
  5. Step 5: Solve for x
    x = 931,727.46/1,044.48
  6. Step 6: Final answer
    x = 892.05

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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.