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Finding the Fourth Proportional to 772.57, 1,066.16 and 440.98

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Solution

The fourth proportional to 772.57, 1,066.16 and 440.98 is: 608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,066.16 = 440.98 : x
  2. Step 2: Convert to fraction form
    772.57/1,066.16 = 440.98/x
  3. Step 3: Cross multiply
    772.57x = 1,066.16 × 440.98
  4. Step 4: Simplify right side
    772.57x = 470,155.24
  5. Step 5: Solve for x
    x = 470,155.24/772.57
  6. Step 6: Final answer
    x = 608.56

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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.