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Finding the Fourth Proportional to 1,440.69, 2,161.49 and 467.47

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Solution

The fourth proportional to 1,440.69, 2,161.49 and 467.47 is: 701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.69 : 2,161.49 = 467.47 : x
  2. Step 2: Convert to fraction form
    1,440.69/2,161.49 = 467.47/x
  3. Step 3: Cross multiply
    1,440.69x = 2,161.49 × 467.47
  4. Step 4: Simplify right side
    1,440.69x = 1,010,432.09
  5. Step 5: Solve for x
    x = 1,010,432.09/1,440.69
  6. Step 6: Final answer
    x = 701.35

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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.