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Finding the Fourth Proportional to 772.45, 1,065.71 and 440.76

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Solution

The fourth proportional to 772.45, 1,065.71 and 440.76 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,065.71 = 440.76 : x
  2. Step 2: Convert to fraction form
    772.45/1,065.71 = 440.76/x
  3. Step 3: Cross multiply
    772.45x = 1,065.71 × 440.76
  4. Step 4: Simplify right side
    772.45x = 469,718.96
  5. Step 5: Solve for x
    x = 469,718.96/772.45
  6. Step 6: Final answer
    x = 608.09

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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.