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Finding the Fourth Proportional to 1,214.88, 1,677.05 and 948.66

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Solution

The fourth proportional to 1,214.88, 1,677.05 and 948.66 is: 1,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.88 : 1,677.05 = 948.66 : x
  2. Step 2: Convert to fraction form
    1,214.88/1,677.05 = 948.66/x
  3. Step 3: Cross multiply
    1,214.88x = 1,677.05 × 948.66
  4. Step 4: Simplify right side
    1,214.88x = 1,590,950.25
  5. Step 5: Solve for x
    x = 1,590,950.25/1,214.88
  6. Step 6: Final answer
    x = 1,309.55

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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.