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Finding the Fourth Proportional to 700.40, 1,050.60 and 377.82

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Solution

The fourth proportional to 700.40, 1,050.60 and 377.82 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.40 : 1,050.60 = 377.82 : x
  2. Step 2: Convert to fraction form
    700.40/1,050.60 = 377.82/x
  3. Step 3: Cross multiply
    700.40x = 1,050.60 × 377.82
  4. Step 4: Simplify right side
    700.40x = 396,939.11
  5. Step 5: Solve for x
    x = 396,939.11/700.40
  6. Step 6: Final answer
    x = 566.73

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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.