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Finding the Fourth Proportional to 864.26, 1,297.14 and 570.94

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Solution

The fourth proportional to 864.26, 1,297.14 and 570.94 is: 856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.26 : 1,297.14 = 570.94 : x
  2. Step 2: Convert to fraction form
    864.26/1,297.14 = 570.94/x
  3. Step 3: Cross multiply
    864.26x = 1,297.14 × 570.94
  4. Step 4: Simplify right side
    864.26x = 740,589.11
  5. Step 5: Solve for x
    x = 740,589.11/864.26
  6. Step 6: Final answer
    x = 856.91

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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.