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Finding the Fourth Proportional to 700.65, 1,051.11 and 411.75

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Solution

The fourth proportional to 700.65, 1,051.11 and 411.75 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.65 : 1,051.11 = 411.75 : x
  2. Step 2: Convert to fraction form
    700.65/1,051.11 = 411.75/x
  3. Step 3: Cross multiply
    700.65x = 1,051.11 × 411.75
  4. Step 4: Simplify right side
    700.65x = 432,794.54
  5. Step 5: Solve for x
    x = 432,794.54/700.65
  6. Step 6: Final answer
    x = 617.70

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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.