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Finding the Fourth Proportional to 854.69, 1,279.04 and 525.47

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Solution

The fourth proportional to 854.69, 1,279.04 and 525.47 is: 786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.69 : 1,279.04 = 525.47 : x
  2. Step 2: Convert to fraction form
    854.69/1,279.04 = 525.47/x
  3. Step 3: Cross multiply
    854.69x = 1,279.04 × 525.47
  4. Step 4: Simplify right side
    854.69x = 672,088.13
  5. Step 5: Solve for x
    x = 672,088.13/854.69
  6. Step 6: Final answer
    x = 786.36

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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.