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Finding the Fourth Proportional to 1,867.30, 2,798.98 and 770.15

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Solution

The fourth proportional to 1,867.30, 2,798.98 and 770.15 is: 1,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.30 : 2,798.98 = 770.15 : x
  2. Step 2: Convert to fraction form
    1,867.30/2,798.98 = 770.15/x
  3. Step 3: Cross multiply
    1,867.30x = 2,798.98 × 770.15
  4. Step 4: Simplify right side
    1,867.30x = 2,155,634.45
  5. Step 5: Solve for x
    x = 2,155,634.45/1,867.30
  6. Step 6: Final answer
    x = 1,154.41

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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.