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Finding the Fourth Proportional to 1,162.49, 1,743.68 and 340.73

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Solution

The fourth proportional to 1,162.49, 1,743.68 and 340.73 is: 511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.49 : 1,743.68 = 340.73 : x
  2. Step 2: Convert to fraction form
    1,162.49/1,743.68 = 340.73/x
  3. Step 3: Cross multiply
    1,162.49x = 1,743.68 × 340.73
  4. Step 4: Simplify right side
    1,162.49x = 594,125.75
  5. Step 5: Solve for x
    x = 594,125.75/1,162.49
  6. Step 6: Final answer
    x = 511.08

Related Problems

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Half scale
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Double scale
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1.5x scale

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.