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Finding the Fourth Proportional to 711.41, 1,065.92 and 248.93

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Solution

The fourth proportional to 711.41, 1,065.92 and 248.93 is: 372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.41 : 1,065.92 = 248.93 : x
  2. Step 2: Convert to fraction form
    711.41/1,065.92 = 248.93/x
  3. Step 3: Cross multiply
    711.41x = 1,065.92 × 248.93
  4. Step 4: Simplify right side
    711.41x = 265,339.47
  5. Step 5: Solve for x
    x = 265,339.47/711.41
  6. Step 6: Final answer
    x = 372.98

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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.