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Finding the Fourth Proportional to 1,087.26, 1,630.89 and 565.98

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Solution

The fourth proportional to 1,087.26, 1,630.89 and 565.98 is: 848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.26 : 1,630.89 = 565.98 : x
  2. Step 2: Convert to fraction form
    1,087.26/1,630.89 = 565.98/x
  3. Step 3: Cross multiply
    1,087.26x = 1,630.89 × 565.98
  4. Step 4: Simplify right side
    1,087.26x = 923,051.12
  5. Step 5: Solve for x
    x = 923,051.12/1,087.26
  6. Step 6: Final answer
    x = 848.97

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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.