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Finding the Fourth Proportional to 608.72, 840.14 and 461.10

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Solution

The fourth proportional to 608.72, 840.14 and 461.10 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.72 : 840.14 = 461.10 : x
  2. Step 2: Convert to fraction form
    608.72/840.14 = 461.10/x
  3. Step 3: Cross multiply
    608.72x = 840.14 × 461.10
  4. Step 4: Simplify right side
    608.72x = 387,386.25
  5. Step 5: Solve for x
    x = 387,386.25/608.72
  6. Step 6: Final answer
    x = 636.40

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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.