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Finding the Fourth Proportional to 697.19, 1,044.88 and 384.62

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Solution

The fourth proportional to 697.19, 1,044.88 and 384.62 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.19 : 1,044.88 = 384.62 : x
  2. Step 2: Convert to fraction form
    697.19/1,044.88 = 384.62/x
  3. Step 3: Cross multiply
    697.19x = 1,044.88 × 384.62
  4. Step 4: Simplify right side
    697.19x = 401,883.40
  5. Step 5: Solve for x
    x = 401,883.40/697.19
  6. Step 6: Final answer
    x = 576.44

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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.