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Finding the Fourth Proportional to 916.24, 1,263.45 and 842.26

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Solution

The fourth proportional to 916.24, 1,263.45 and 842.26 is: 1,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.24 : 1,263.45 = 842.26 : x
  2. Step 2: Convert to fraction form
    916.24/1,263.45 = 842.26/x
  3. Step 3: Cross multiply
    916.24x = 1,263.45 × 842.26
  4. Step 4: Simplify right side
    916.24x = 1,064,153.40
  5. Step 5: Solve for x
    x = 1,064,153.40/916.24
  6. Step 6: Final answer
    x = 1,161.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.