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Finding the Fourth Proportional to 609.51, 840.56 and 457.49

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Solution

The fourth proportional to 609.51, 840.56 and 457.49 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 840.56 = 457.49 : x
  2. Step 2: Convert to fraction form
    609.51/840.56 = 457.49/x
  3. Step 3: Cross multiply
    609.51x = 840.56 × 457.49
  4. Step 4: Simplify right side
    609.51x = 384,541.30
  5. Step 5: Solve for x
    x = 384,541.30/609.51
  6. Step 6: Final answer
    x = 630.91

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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.