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Finding the Fourth Proportional to 830.38, 1,243.68 and 521.50

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Solution

The fourth proportional to 830.38, 1,243.68 and 521.50 is: 781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.38 : 1,243.68 = 521.50 : x
  2. Step 2: Convert to fraction form
    830.38/1,243.68 = 521.50/x
  3. Step 3: Cross multiply
    830.38x = 1,243.68 × 521.50
  4. Step 4: Simplify right side
    830.38x = 648,579.12
  5. Step 5: Solve for x
    x = 648,579.12/830.38
  6. Step 6: Final answer
    x = 781.06

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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.