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Finding the Fourth Proportional to 847.66, 1,169.40 and 498.19

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Solution

The fourth proportional to 847.66, 1,169.40 and 498.19 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.66 : 1,169.40 = 498.19 : x
  2. Step 2: Convert to fraction form
    847.66/1,169.40 = 498.19/x
  3. Step 3: Cross multiply
    847.66x = 1,169.40 × 498.19
  4. Step 4: Simplify right side
    847.66x = 582,583.39
  5. Step 5: Solve for x
    x = 582,583.39/847.66
  6. Step 6: Final answer
    x = 687.28

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1.5x scale

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.