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Finding the Fourth Proportional to 1,306.40, 1,801.68 and 1,044.32

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Solution

The fourth proportional to 1,306.40, 1,801.68 and 1,044.32 is: 1,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.40 : 1,801.68 = 1,044.32 : x
  2. Step 2: Convert to fraction form
    1,306.40/1,801.68 = 1,044.32/x
  3. Step 3: Cross multiply
    1,306.40x = 1,801.68 × 1,044.32
  4. Step 4: Simplify right side
    1,306.40x = 1,881,530.46
  5. Step 5: Solve for x
    x = 1,881,530.46/1,306.40
  6. Step 6: Final answer
    x = 1,440.24

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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.