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Finding the Fourth Proportional to 700.37, 1,049.68 and 613.50

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Solution

The fourth proportional to 700.37, 1,049.68 and 613.50 is: 919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.37 : 1,049.68 = 613.50 : x
  2. Step 2: Convert to fraction form
    700.37/1,049.68 = 613.50/x
  3. Step 3: Cross multiply
    700.37x = 1,049.68 × 613.50
  4. Step 4: Simplify right side
    700.37x = 643,978.68
  5. Step 5: Solve for x
    x = 643,978.68/700.37
  6. Step 6: Final answer
    x = 919.48

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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.