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Finding the Fourth Proportional to 679.21, 1,017.30 and 524

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Solution

The fourth proportional to 679.21, 1,017.30 and 524 is: 784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.21 : 1,017.30 = 524 : x
  2. Step 2: Convert to fraction form
    679.21/1,017.30 = 524/x
  3. Step 3: Cross multiply
    679.21x = 1,017.30 × 524
  4. Step 4: Simplify right side
    679.21x = 533,065.20
  5. Step 5: Solve for x
    x = 533,065.20/679.21
  6. Step 6: Final answer
    x = 784.83

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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.