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Finding the Fourth Proportional to 890.82, 1,335.78 and 342.99

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Solution

The fourth proportional to 890.82, 1,335.78 and 342.99 is: 514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.82 : 1,335.78 = 342.99 : x
  2. Step 2: Convert to fraction form
    890.82/1,335.78 = 342.99/x
  3. Step 3: Cross multiply
    890.82x = 1,335.78 × 342.99
  4. Step 4: Simplify right side
    890.82x = 458,159.18
  5. Step 5: Solve for x
    x = 458,159.18/890.82
  6. Step 6: Final answer
    x = 514.31

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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.