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Finding the Fourth Proportional to 916.20, 1,363.95 and 910.80

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Solution

The fourth proportional to 916.20, 1,363.95 and 910.80 is: 1,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.20 : 1,363.95 = 910.80 : x
  2. Step 2: Convert to fraction form
    916.20/1,363.95 = 910.80/x
  3. Step 3: Cross multiply
    916.20x = 1,363.95 × 910.80
  4. Step 4: Simplify right side
    916.20x = 1,242,285.66
  5. Step 5: Solve for x
    x = 1,242,285.66/916.20
  6. Step 6: Final answer
    x = 1,355.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.