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Finding the Fourth Proportional to 777.65, 1,166.86 and 485.07

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Solution

The fourth proportional to 777.65, 1,166.86 and 485.07 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.65 : 1,166.86 = 485.07 : x
  2. Step 2: Convert to fraction form
    777.65/1,166.86 = 485.07/x
  3. Step 3: Cross multiply
    777.65x = 1,166.86 × 485.07
  4. Step 4: Simplify right side
    777.65x = 566,008.78
  5. Step 5: Solve for x
    x = 566,008.78/777.65
  6. Step 6: Final answer
    x = 727.85

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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.