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Finding the Fourth Proportional to 898.92, 1,348.74 and 460.31

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Solution

The fourth proportional to 898.92, 1,348.74 and 460.31 is: 690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.92 : 1,348.74 = 460.31 : x
  2. Step 2: Convert to fraction form
    898.92/1,348.74 = 460.31/x
  3. Step 3: Cross multiply
    898.92x = 1,348.74 × 460.31
  4. Step 4: Simplify right side
    898.92x = 620,831.77
  5. Step 5: Solve for x
    x = 620,831.77/898.92
  6. Step 6: Final answer
    x = 690.64

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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.