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Finding the Fourth Proportional to 710.49, 1,065.89 and 277.65

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Solution

The fourth proportional to 710.49, 1,065.89 and 277.65 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.49 : 1,065.89 = 277.65 : x
  2. Step 2: Convert to fraction form
    710.49/1,065.89 = 277.65/x
  3. Step 3: Cross multiply
    710.49x = 1,065.89 × 277.65
  4. Step 4: Simplify right side
    710.49x = 295,942.97
  5. Step 5: Solve for x
    x = 295,942.97/710.49
  6. Step 6: Final answer
    x = 416.53

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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.