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Finding the Fourth Proportional to 693.11, 956.14 and 398.20

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Solution

The fourth proportional to 693.11, 956.14 and 398.20 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 956.14 = 398.20 : x
  2. Step 2: Convert to fraction form
    693.11/956.14 = 398.20/x
  3. Step 3: Cross multiply
    693.11x = 956.14 × 398.20
  4. Step 4: Simplify right side
    693.11x = 380,734.95
  5. Step 5: Solve for x
    x = 380,734.95/693.11
  6. Step 6: Final answer
    x = 549.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.