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Finding the Fourth Proportional to 914.94, 1,378.98 and 862.02

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Solution

The fourth proportional to 914.94, 1,378.98 and 862.02 is: 1,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.94 : 1,378.98 = 862.02 : x
  2. Step 2: Convert to fraction form
    914.94/1,378.98 = 862.02/x
  3. Step 3: Cross multiply
    914.94x = 1,378.98 × 862.02
  4. Step 4: Simplify right side
    914.94x = 1,188,708.34
  5. Step 5: Solve for x
    x = 1,188,708.34/914.94
  6. Step 6: Final answer
    x = 1,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.