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Finding the Fourth Proportional to 890.52, 1,340.74 and 814.04

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Solution

The fourth proportional to 890.52, 1,340.74 and 814.04 is: 1,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.52 : 1,340.74 = 814.04 : x
  2. Step 2: Convert to fraction form
    890.52/1,340.74 = 814.04/x
  3. Step 3: Cross multiply
    890.52x = 1,340.74 × 814.04
  4. Step 4: Simplify right side
    890.52x = 1,091,415.99
  5. Step 5: Solve for x
    x = 1,091,415.99/890.52
  6. Step 6: Final answer
    x = 1,225.59

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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.