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Finding the Fourth Proportional to 1,068.16, 1,601.52 and 794.20

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Solution

The fourth proportional to 1,068.16, 1,601.52 and 794.20 is: 1,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.16 : 1,601.52 = 794.20 : x
  2. Step 2: Convert to fraction form
    1,068.16/1,601.52 = 794.20/x
  3. Step 3: Cross multiply
    1,068.16x = 1,601.52 × 794.20
  4. Step 4: Simplify right side
    1,068.16x = 1,271,927.18
  5. Step 5: Solve for x
    x = 1,271,927.18/1,068.16
  6. Step 6: Final answer
    x = 1,190.76

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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.