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Finding the Fourth Proportional to 929.50, 1,282.16 and 777.69

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Solution

The fourth proportional to 929.50, 1,282.16 and 777.69 is: 1,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.50 : 1,282.16 = 777.69 : x
  2. Step 2: Convert to fraction form
    929.50/1,282.16 = 777.69/x
  3. Step 3: Cross multiply
    929.50x = 1,282.16 × 777.69
  4. Step 4: Simplify right side
    929.50x = 997,124.95
  5. Step 5: Solve for x
    x = 997,124.95/929.50
  6. Step 6: Final answer
    x = 1,072.76

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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.