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Finding the Fourth Proportional to 608.71, 840.32 and 459.40

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Solution

The fourth proportional to 608.71, 840.32 and 459.40 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.71 : 840.32 = 459.40 : x
  2. Step 2: Convert to fraction form
    608.71/840.32 = 459.40/x
  3. Step 3: Cross multiply
    608.71x = 840.32 × 459.40
  4. Step 4: Simplify right side
    608.71x = 386,043.01
  5. Step 5: Solve for x
    x = 386,043.01/608.71
  6. Step 6: Final answer
    x = 634.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.