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Finding the Fourth Proportional to 700.28, 1,049.05 and 407.06

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Solution

The fourth proportional to 700.28, 1,049.05 and 407.06 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.28 : 1,049.05 = 407.06 : x
  2. Step 2: Convert to fraction form
    700.28/1,049.05 = 407.06/x
  3. Step 3: Cross multiply
    700.28x = 1,049.05 × 407.06
  4. Step 4: Simplify right side
    700.28x = 427,020.03
  5. Step 5: Solve for x
    x = 427,020.03/700.28
  6. Step 6: Final answer
    x = 609.79

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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.