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Finding the Fourth Proportional to 1,499.79, 2,069.58 and 836.64

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Solution

The fourth proportional to 1,499.79, 2,069.58 and 836.64 is: 1,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.79 : 2,069.58 = 836.64 : x
  2. Step 2: Convert to fraction form
    1,499.79/2,069.58 = 836.64/x
  3. Step 3: Cross multiply
    1,499.79x = 2,069.58 × 836.64
  4. Step 4: Simplify right side
    1,499.79x = 1,731,493.41
  5. Step 5: Solve for x
    x = 1,731,493.41/1,499.79
  6. Step 6: Final answer
    x = 1,154.49

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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.