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Finding the Fourth Proportional to 898.28, 1,346.06 and 464.12

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Solution

The fourth proportional to 898.28, 1,346.06 and 464.12 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,346.06 = 464.12 : x
  2. Step 2: Convert to fraction form
    898.28/1,346.06 = 464.12/x
  3. Step 3: Cross multiply
    898.28x = 1,346.06 × 464.12
  4. Step 4: Simplify right side
    898.28x = 624,733.37
  5. Step 5: Solve for x
    x = 624,733.37/898.28
  6. Step 6: Final answer
    x = 695.48

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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.