Home / 1,440.18-2,159.19-823.50

Finding the Fourth Proportional to 1,440.18, 2,159.19 and 823.50

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Solution

The fourth proportional to 1,440.18, 2,159.19 and 823.50 is: 1,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.18 : 2,159.19 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,440.18/2,159.19 = 823.50/x
  3. Step 3: Cross multiply
    1,440.18x = 2,159.19 × 823.50
  4. Step 4: Simplify right side
    1,440.18x = 1,778,092.97
  5. Step 5: Solve for x
    x = 1,778,092.97/1,440.18
  6. Step 6: Final answer
    x = 1,234.63

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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.