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Finding the Fourth Proportional to 771.74, 1,157.52 and 284.74

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Solution

The fourth proportional to 771.74, 1,157.52 and 284.74 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.74 : 1,157.52 = 284.74 : x
  2. Step 2: Convert to fraction form
    771.74/1,157.52 = 284.74/x
  3. Step 3: Cross multiply
    771.74x = 1,157.52 × 284.74
  4. Step 4: Simplify right side
    771.74x = 329,592.24
  5. Step 5: Solve for x
    x = 329,592.24/771.74
  6. Step 6: Final answer
    x = 427.08

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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.