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Finding the Fourth Proportional to 914.01, 1,372.66 and 840.75

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Solution

The fourth proportional to 914.01, 1,372.66 and 840.75 is: 1,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.01 : 1,372.66 = 840.75 : x
  2. Step 2: Convert to fraction form
    914.01/1,372.66 = 840.75/x
  3. Step 3: Cross multiply
    914.01x = 1,372.66 × 840.75
  4. Step 4: Simplify right side
    914.01x = 1,154,056.65
  5. Step 5: Solve for x
    x = 1,154,056.65/914.01
  6. Step 6: Final answer
    x = 1,262.64

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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.