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Finding the Fourth Proportional to 806.50, 1,113.06 and 496

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Solution

The fourth proportional to 806.50, 1,113.06 and 496 is: 684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.50 : 1,113.06 = 496 : x
  2. Step 2: Convert to fraction form
    806.50/1,113.06 = 496/x
  3. Step 3: Cross multiply
    806.50x = 1,113.06 × 496
  4. Step 4: Simplify right side
    806.50x = 552,077.76
  5. Step 5: Solve for x
    x = 552,077.76/806.50
  6. Step 6: Final answer
    x = 684.54

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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.