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Finding the Fourth Proportional to 1,214.66, 1,675.24 and 771.80

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Solution

The fourth proportional to 1,214.66, 1,675.24 and 771.80 is: 1,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.66 : 1,675.24 = 771.80 : x
  2. Step 2: Convert to fraction form
    1,214.66/1,675.24 = 771.80/x
  3. Step 3: Cross multiply
    1,214.66x = 1,675.24 × 771.80
  4. Step 4: Simplify right side
    1,214.66x = 1,292,939.93
  5. Step 5: Solve for x
    x = 1,292,939.93/1,214.66
  6. Step 6: Final answer
    x = 1,064.44

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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.