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Finding the Fourth Proportional to 1,353.58, 1,868.00 and 747.95

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Solution

The fourth proportional to 1,353.58, 1,868.00 and 747.95 is: 1,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.58 : 1,868.00 = 747.95 : x
  2. Step 2: Convert to fraction form
    1,353.58/1,868.00 = 747.95/x
  3. Step 3: Cross multiply
    1,353.58x = 1,868.00 × 747.95
  4. Step 4: Simplify right side
    1,353.58x = 1,397,166.86
  5. Step 5: Solve for x
    x = 1,397,166.86/1,353.58
  6. Step 6: Final answer
    x = 1,032.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.