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Finding the Fourth Proportional to 770.95, 1,155.84 and 250.64

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Solution

The fourth proportional to 770.95, 1,155.84 and 250.64 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,155.84 = 250.64 : x
  2. Step 2: Convert to fraction form
    770.95/1,155.84 = 250.64/x
  3. Step 3: Cross multiply
    770.95x = 1,155.84 × 250.64
  4. Step 4: Simplify right side
    770.95x = 289,697.35
  5. Step 5: Solve for x
    x = 289,697.35/770.95
  6. Step 6: Final answer
    x = 375.77

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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.