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Finding the Fourth Proportional to 698.82, 1,048.14 and 369.63

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Solution

The fourth proportional to 698.82, 1,048.14 and 369.63 is: 554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 1,048.14 = 369.63 : x
  2. Step 2: Convert to fraction form
    698.82/1,048.14 = 369.63/x
  3. Step 3: Cross multiply
    698.82x = 1,048.14 × 369.63
  4. Step 4: Simplify right side
    698.82x = 387,423.99
  5. Step 5: Solve for x
    x = 387,423.99/698.82
  6. Step 6: Final answer
    x = 554.40

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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.