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Finding the Fourth Proportional to 777.83, 1,072.95 and 497.96

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Solution

The fourth proportional to 777.83, 1,072.95 and 497.96 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.83 : 1,072.95 = 497.96 : x
  2. Step 2: Convert to fraction form
    777.83/1,072.95 = 497.96/x
  3. Step 3: Cross multiply
    777.83x = 1,072.95 × 497.96
  4. Step 4: Simplify right side
    777.83x = 534,282.97
  5. Step 5: Solve for x
    x = 534,282.97/777.83
  6. Step 6: Final answer
    x = 686.89

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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.