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Finding the Fourth Proportional to 772.17, 1,065.74 and 440.55

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Solution

The fourth proportional to 772.17, 1,065.74 and 440.55 is: 608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.17 : 1,065.74 = 440.55 : x
  2. Step 2: Convert to fraction form
    772.17/1,065.74 = 440.55/x
  3. Step 3: Cross multiply
    772.17x = 1,065.74 × 440.55
  4. Step 4: Simplify right side
    772.17x = 469,509.55
  5. Step 5: Solve for x
    x = 469,509.55/772.17
  6. Step 6: Final answer
    x = 608.04

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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.