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Finding the Fourth Proportional to 914.36, 1,362.85 and 862.46

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Solution

The fourth proportional to 914.36, 1,362.85 and 862.46 is: 1,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.36 : 1,362.85 = 862.46 : x
  2. Step 2: Convert to fraction form
    914.36/1,362.85 = 862.46/x
  3. Step 3: Cross multiply
    914.36x = 1,362.85 × 862.46
  4. Step 4: Simplify right side
    914.36x = 1,175,403.61
  5. Step 5: Solve for x
    x = 1,175,403.61/914.36
  6. Step 6: Final answer
    x = 1,285.49

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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.