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Finding the Fourth Proportional to 710.44, 1,065.90 and 277.84

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Solution

The fourth proportional to 710.44, 1,065.90 and 277.84 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 1,065.90 = 277.84 : x
  2. Step 2: Convert to fraction form
    710.44/1,065.90 = 277.84/x
  3. Step 3: Cross multiply
    710.44x = 1,065.90 × 277.84
  4. Step 4: Simplify right side
    710.44x = 296,149.66
  5. Step 5: Solve for x
    x = 296,149.66/710.44
  6. Step 6: Final answer
    x = 416.85

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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.