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Finding the Fourth Proportional to 1,499.95, 2,069.93 and 836.81

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Solution

The fourth proportional to 1,499.95, 2,069.93 and 836.81 is: 1,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.95 : 2,069.93 = 836.81 : x
  2. Step 2: Convert to fraction form
    1,499.95/2,069.93 = 836.81/x
  3. Step 3: Cross multiply
    1,499.95x = 2,069.93 × 836.81
  4. Step 4: Simplify right side
    1,499.95x = 1,732,126.73
  5. Step 5: Solve for x
    x = 1,732,126.73/1,499.95
  6. Step 6: Final answer
    x = 1,154.79

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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.