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Finding the Fourth Proportional to 705.27, 1,053.23 and 697.65

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Solution

The fourth proportional to 705.27, 1,053.23 and 697.65 is: 1,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,053.23 = 697.65 : x
  2. Step 2: Convert to fraction form
    705.27/1,053.23 = 697.65/x
  3. Step 3: Cross multiply
    705.27x = 1,053.23 × 697.65
  4. Step 4: Simplify right side
    705.27x = 734,782.42
  5. Step 5: Solve for x
    x = 734,782.42/705.27
  6. Step 6: Final answer
    x = 1,041.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.