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Finding the Fourth Proportional to 898.64, 1,347.86 and 313.55

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Solution

The fourth proportional to 898.64, 1,347.86 and 313.55 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.64 : 1,347.86 = 313.55 : x
  2. Step 2: Convert to fraction form
    898.64/1,347.86 = 313.55/x
  3. Step 3: Cross multiply
    898.64x = 1,347.86 × 313.55
  4. Step 4: Simplify right side
    898.64x = 422,615.55
  5. Step 5: Solve for x
    x = 422,615.55/898.64
  6. Step 6: Final answer
    x = 470.28

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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.