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Finding the Fourth Proportional to 1,215.84, 1,677.12 and 1,068.48

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Solution

The fourth proportional to 1,215.84, 1,677.12 and 1,068.48 is: 1,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 1,677.12 = 1,068.48 : x
  2. Step 2: Convert to fraction form
    1,215.84/1,677.12 = 1,068.48/x
  3. Step 3: Cross multiply
    1,215.84x = 1,677.12 × 1,068.48
  4. Step 4: Simplify right side
    1,215.84x = 1,791,969.18
  5. Step 5: Solve for x
    x = 1,791,969.18/1,215.84
  6. Step 6: Final answer
    x = 1,473.85

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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.