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Finding the Fourth Proportional to 777.09, 1,072.26 and 497.64

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Solution

The fourth proportional to 777.09, 1,072.26 and 497.64 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,072.26 = 497.64 : x
  2. Step 2: Convert to fraction form
    777.09/1,072.26 = 497.64/x
  3. Step 3: Cross multiply
    777.09x = 1,072.26 × 497.64
  4. Step 4: Simplify right side
    777.09x = 533,599.47
  5. Step 5: Solve for x
    x = 533,599.47/777.09
  6. Step 6: Final answer
    x = 686.66

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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.