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Finding the Fourth Proportional to 2,398.76, 3,598.14 and 667.40

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Solution

The fourth proportional to 2,398.76, 3,598.14 and 667.40 is: 1,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.76 : 3,598.14 = 667.40 : x
  2. Step 2: Convert to fraction form
    2,398.76/3,598.14 = 667.40/x
  3. Step 3: Cross multiply
    2,398.76x = 3,598.14 × 667.40
  4. Step 4: Simplify right side
    2,398.76x = 2,401,398.64
  5. Step 5: Solve for x
    x = 2,401,398.64/2,398.76
  6. Step 6: Final answer
    x = 1,001.10

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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.