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Finding the Fourth Proportional to 843.98, 1,263.09 and 707.18

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Solution

The fourth proportional to 843.98, 1,263.09 and 707.18 is: 1,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.98 : 1,263.09 = 707.18 : x
  2. Step 2: Convert to fraction form
    843.98/1,263.09 = 707.18/x
  3. Step 3: Cross multiply
    843.98x = 1,263.09 × 707.18
  4. Step 4: Simplify right side
    843.98x = 893,231.99
  5. Step 5: Solve for x
    x = 893,231.99/843.98
  6. Step 6: Final answer
    x = 1,058.36

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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.