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Finding the Fourth Proportional to 1,931.18, 2,895.06 and 698.30

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Solution

The fourth proportional to 1,931.18, 2,895.06 and 698.30 is: 1,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.18 : 2,895.06 = 698.30 : x
  2. Step 2: Convert to fraction form
    1,931.18/2,895.06 = 698.30/x
  3. Step 3: Cross multiply
    1,931.18x = 2,895.06 × 698.30
  4. Step 4: Simplify right side
    1,931.18x = 2,021,620.40
  5. Step 5: Solve for x
    x = 2,021,620.40/1,931.18
  6. Step 6: Final answer
    x = 1,046.83

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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.