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Finding the Fourth Proportional to 1,160.45, 1,601.21 and 662.93

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Solution

The fourth proportional to 1,160.45, 1,601.21 and 662.93 is: 914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.45 : 1,601.21 = 662.93 : x
  2. Step 2: Convert to fraction form
    1,160.45/1,601.21 = 662.93/x
  3. Step 3: Cross multiply
    1,160.45x = 1,601.21 × 662.93
  4. Step 4: Simplify right side
    1,160.45x = 1,061,483.80
  5. Step 5: Solve for x
    x = 1,061,483.80/1,160.45
  6. Step 6: Final answer
    x = 914.72

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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.