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Finding the Fourth Proportional to 697.40, 1,044.99 and 368.32

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Solution

The fourth proportional to 697.40, 1,044.99 and 368.32 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 1,044.99 = 368.32 : x
  2. Step 2: Convert to fraction form
    697.40/1,044.99 = 368.32/x
  3. Step 3: Cross multiply
    697.40x = 1,044.99 × 368.32
  4. Step 4: Simplify right side
    697.40x = 384,891.49
  5. Step 5: Solve for x
    x = 384,891.49/697.40
  6. Step 6: Final answer
    x = 551.90

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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.