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Finding the Fourth Proportional to 1,044.30, 1,559.40 and 907.68

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Solution

The fourth proportional to 1,044.30, 1,559.40 and 907.68 is: 1,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.30 : 1,559.40 = 907.68 : x
  2. Step 2: Convert to fraction form
    1,044.30/1,559.40 = 907.68/x
  3. Step 3: Cross multiply
    1,044.30x = 1,559.40 × 907.68
  4. Step 4: Simplify right side
    1,044.30x = 1,415,436.19
  5. Step 5: Solve for x
    x = 1,415,436.19/1,044.30
  6. Step 6: Final answer
    x = 1,355.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.