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Finding the Fourth Proportional to 777.80, 1,073.15 and 498.05

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Solution

The fourth proportional to 777.80, 1,073.15 and 498.05 is: 687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.80 : 1,073.15 = 498.05 : x
  2. Step 2: Convert to fraction form
    777.80/1,073.15 = 498.05/x
  3. Step 3: Cross multiply
    777.80x = 1,073.15 × 498.05
  4. Step 4: Simplify right side
    777.80x = 534,480.39
  5. Step 5: Solve for x
    x = 534,480.39/777.80
  6. Step 6: Final answer
    x = 687.17

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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.