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Finding the Fourth Proportional to 1,257.99, 1,881.59 and 907.39

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Solution

The fourth proportional to 1,257.99, 1,881.59 and 907.39 is: 1,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.99 : 1,881.59 = 907.39 : x
  2. Step 2: Convert to fraction form
    1,257.99/1,881.59 = 907.39/x
  3. Step 3: Cross multiply
    1,257.99x = 1,881.59 × 907.39
  4. Step 4: Simplify right side
    1,257.99x = 1,707,335.95
  5. Step 5: Solve for x
    x = 1,707,335.95/1,257.99
  6. Step 6: Final answer
    x = 1,357.19

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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.