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Finding the Fourth Proportional to 1,216.59, 1,675.21 and 1,019.76

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Solution

The fourth proportional to 1,216.59, 1,675.21 and 1,019.76 is: 1,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.59 : 1,675.21 = 1,019.76 : x
  2. Step 2: Convert to fraction form
    1,216.59/1,675.21 = 1,019.76/x
  3. Step 3: Cross multiply
    1,216.59x = 1,675.21 × 1,019.76
  4. Step 4: Simplify right side
    1,216.59x = 1,708,312.15
  5. Step 5: Solve for x
    x = 1,708,312.15/1,216.59
  6. Step 6: Final answer
    x = 1,404.18

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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.