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Finding the Fourth Proportional to 837.79, 1,156.23 and 506.49

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Solution

The fourth proportional to 837.79, 1,156.23 and 506.49 is: 699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.79 : 1,156.23 = 506.49 : x
  2. Step 2: Convert to fraction form
    837.79/1,156.23 = 506.49/x
  3. Step 3: Cross multiply
    837.79x = 1,156.23 × 506.49
  4. Step 4: Simplify right side
    837.79x = 585,618.93
  5. Step 5: Solve for x
    x = 585,618.93/837.79
  6. Step 6: Final answer
    x = 699.00

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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.