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Finding the Fourth Proportional to 679.69, 1,018.17 and 525.08

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Solution

The fourth proportional to 679.69, 1,018.17 and 525.08 is: 786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.69 : 1,018.17 = 525.08 : x
  2. Step 2: Convert to fraction form
    679.69/1,018.17 = 525.08/x
  3. Step 3: Cross multiply
    679.69x = 1,018.17 × 525.08
  4. Step 4: Simplify right side
    679.69x = 534,623.25
  5. Step 5: Solve for x
    x = 534,623.25/679.69
  6. Step 6: Final answer
    x = 786.57

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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.