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Finding the Fourth Proportional to 1,193.84, 1,648.14 and 745.84

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Solution

The fourth proportional to 1,193.84, 1,648.14 and 745.84 is: 1,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.84 : 1,648.14 = 745.84 : x
  2. Step 2: Convert to fraction form
    1,193.84/1,648.14 = 745.84/x
  3. Step 3: Cross multiply
    1,193.84x = 1,648.14 × 745.84
  4. Step 4: Simplify right side
    1,193.84x = 1,229,248.74
  5. Step 5: Solve for x
    x = 1,229,248.74/1,193.84
  6. Step 6: Final answer
    x = 1,029.66

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1.5x scale

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.