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Finding the Fourth Proportional to 679.09, 1,017.57 and 525.40

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Solution

The fourth proportional to 679.09, 1,017.57 and 525.40 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.09 : 1,017.57 = 525.40 : x
  2. Step 2: Convert to fraction form
    679.09/1,017.57 = 525.40/x
  3. Step 3: Cross multiply
    679.09x = 1,017.57 × 525.40
  4. Step 4: Simplify right side
    679.09x = 534,631.28
  5. Step 5: Solve for x
    x = 534,631.28/679.09
  6. Step 6: Final answer
    x = 787.28

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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.