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Finding the Fourth Proportional to 693.90, 1,041.18 and 347.27

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Solution

The fourth proportional to 693.90, 1,041.18 and 347.27 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.90 : 1,041.18 = 347.27 : x
  2. Step 2: Convert to fraction form
    693.90/1,041.18 = 347.27/x
  3. Step 3: Cross multiply
    693.90x = 1,041.18 × 347.27
  4. Step 4: Simplify right side
    693.90x = 361,564.07
  5. Step 5: Solve for x
    x = 361,564.07/693.90
  6. Step 6: Final answer
    x = 521.06

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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.