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Finding the Fourth Proportional to 898.55, 1,347.75 and 313.41

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Solution

The fourth proportional to 898.55, 1,347.75 and 313.41 is: 470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.55 : 1,347.75 = 313.41 : x
  2. Step 2: Convert to fraction form
    898.55/1,347.75 = 313.41/x
  3. Step 3: Cross multiply
    898.55x = 1,347.75 × 313.41
  4. Step 4: Simplify right side
    898.55x = 422,398.33
  5. Step 5: Solve for x
    x = 422,398.33/898.55
  6. Step 6: Final answer
    x = 470.09

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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.