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Finding the Fourth Proportional to 777.65, 1,166.10 and 283.71

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Solution

The fourth proportional to 777.65, 1,166.10 and 283.71 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.65 : 1,166.10 = 283.71 : x
  2. Step 2: Convert to fraction form
    777.65/1,166.10 = 283.71/x
  3. Step 3: Cross multiply
    777.65x = 1,166.10 × 283.71
  4. Step 4: Simplify right side
    777.65x = 330,828.40
  5. Step 5: Solve for x
    x = 330,828.40/777.65
  6. Step 6: Final answer
    x = 425.42

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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.