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Finding the Fourth Proportional to 609.91, 840.45 and 504.70

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Solution

The fourth proportional to 609.91, 840.45 and 504.70 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.91 : 840.45 = 504.70 : x
  2. Step 2: Convert to fraction form
    609.91/840.45 = 504.70/x
  3. Step 3: Cross multiply
    609.91x = 840.45 × 504.70
  4. Step 4: Simplify right side
    609.91x = 424,175.12
  5. Step 5: Solve for x
    x = 424,175.12/609.91
  6. Step 6: Final answer
    x = 695.47

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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.