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Finding the Fourth Proportional to 1,153.90, 1,729.70 and 788.79

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Solution

The fourth proportional to 1,153.90, 1,729.70 and 788.79 is: 1,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.90 : 1,729.70 = 788.79 : x
  2. Step 2: Convert to fraction form
    1,153.90/1,729.70 = 788.79/x
  3. Step 3: Cross multiply
    1,153.90x = 1,729.70 × 788.79
  4. Step 4: Simplify right side
    1,153.90x = 1,364,370.06
  5. Step 5: Solve for x
    x = 1,364,370.06/1,153.90
  6. Step 6: Final answer
    x = 1,182.40

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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.