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Finding the Fourth Proportional to 700, 1,049.87 and 237.77

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Solution

The fourth proportional to 700, 1,049.87 and 237.77 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 1,049.87 = 237.77 : x
  2. Step 2: Convert to fraction form
    700/1,049.87 = 237.77/x
  3. Step 3: Cross multiply
    700x = 1,049.87 × 237.77
  4. Step 4: Simplify right side
    700x = 249,627.59
  5. Step 5: Solve for x
    x = 249,627.59/700
  6. Step 6: Final answer
    x = 356.61

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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.