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Finding the Fourth Proportional to 772.66, 1,157.64 and 643.49

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Solution

The fourth proportional to 772.66, 1,157.64 and 643.49 is: 964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.66 : 1,157.64 = 643.49 : x
  2. Step 2: Convert to fraction form
    772.66/1,157.64 = 643.49/x
  3. Step 3: Cross multiply
    772.66x = 1,157.64 × 643.49
  4. Step 4: Simplify right side
    772.66x = 744,929.76
  5. Step 5: Solve for x
    x = 744,929.76/772.66
  6. Step 6: Final answer
    x = 964.11

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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.