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Finding the Fourth Proportional to 842.75, 1,162.90 and 511.23

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Solution

The fourth proportional to 842.75, 1,162.90 and 511.23 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.75 : 1,162.90 = 511.23 : x
  2. Step 2: Convert to fraction form
    842.75/1,162.90 = 511.23/x
  3. Step 3: Cross multiply
    842.75x = 1,162.90 × 511.23
  4. Step 4: Simplify right side
    842.75x = 594,509.37
  5. Step 5: Solve for x
    x = 594,509.37/842.75
  6. Step 6: Final answer
    x = 705.44

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Double scale
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1.5x scale

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.