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Finding the Fourth Proportional to 509.19, 701.10 and 398.49

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Solution

The fourth proportional to 509.19, 701.10 and 398.49 is: 548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 701.10 = 398.49 : x
  2. Step 2: Convert to fraction form
    509.19/701.10 = 398.49/x
  3. Step 3: Cross multiply
    509.19x = 701.10 × 398.49
  4. Step 4: Simplify right side
    509.19x = 279,381.34
  5. Step 5: Solve for x
    x = 279,381.34/509.19
  6. Step 6: Final answer
    x = 548.68

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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.