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Finding the Fourth Proportional to 777.69, 1,165.43 and 465.47

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Solution

The fourth proportional to 777.69, 1,165.43 and 465.47 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.69 : 1,165.43 = 465.47 : x
  2. Step 2: Convert to fraction form
    777.69/1,165.43 = 465.47/x
  3. Step 3: Cross multiply
    777.69x = 1,165.43 × 465.47
  4. Step 4: Simplify right side
    777.69x = 542,472.70
  5. Step 5: Solve for x
    x = 542,472.70/777.69
  6. Step 6: Final answer
    x = 697.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.