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Finding the Fourth Proportional to 772.12, 1,157.64 and 285.04

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Solution

The fourth proportional to 772.12, 1,157.64 and 285.04 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.12 : 1,157.64 = 285.04 : x
  2. Step 2: Convert to fraction form
    772.12/1,157.64 = 285.04/x
  3. Step 3: Cross multiply
    772.12x = 1,157.64 × 285.04
  4. Step 4: Simplify right side
    772.12x = 329,973.71
  5. Step 5: Solve for x
    x = 329,973.71/772.12
  6. Step 6: Final answer
    x = 427.36

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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.