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Finding the Fourth Proportional to 1,156.68, 1,728.36 and 788.40

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Solution

The fourth proportional to 1,156.68, 1,728.36 and 788.40 is: 1,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.68 : 1,728.36 = 788.40 : x
  2. Step 2: Convert to fraction form
    1,156.68/1,728.36 = 788.40/x
  3. Step 3: Cross multiply
    1,156.68x = 1,728.36 × 788.40
  4. Step 4: Simplify right side
    1,156.68x = 1,362,639.02
  5. Step 5: Solve for x
    x = 1,362,639.02/1,156.68
  6. Step 6: Final answer
    x = 1,178.06

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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.