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Finding the Fourth Proportional to 1,398.78, 2,097.69 and 576.63

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Solution

The fourth proportional to 1,398.78, 2,097.69 and 576.63 is: 864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.78 : 2,097.69 = 576.63 : x
  2. Step 2: Convert to fraction form
    1,398.78/2,097.69 = 576.63/x
  3. Step 3: Cross multiply
    1,398.78x = 2,097.69 × 576.63
  4. Step 4: Simplify right side
    1,398.78x = 1,209,590.98
  5. Step 5: Solve for x
    x = 1,209,590.98/1,398.78
  6. Step 6: Final answer
    x = 864.75

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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.