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Finding the Fourth Proportional to 898.53, 1,347.86 and 313.60

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Solution

The fourth proportional to 898.53, 1,347.86 and 313.60 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.53 : 1,347.86 = 313.60 : x
  2. Step 2: Convert to fraction form
    898.53/1,347.86 = 313.60/x
  3. Step 3: Cross multiply
    898.53x = 1,347.86 × 313.60
  4. Step 4: Simplify right side
    898.53x = 422,683.96
  5. Step 5: Solve for x
    x = 422,683.96/898.53
  6. Step 6: Final answer
    x = 470.42

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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.