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Finding the Fourth Proportional to 770.84, 1,156.40 and 277.55

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Solution

The fourth proportional to 770.84, 1,156.40 and 277.55 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.84 : 1,156.40 = 277.55 : x
  2. Step 2: Convert to fraction form
    770.84/1,156.40 = 277.55/x
  3. Step 3: Cross multiply
    770.84x = 1,156.40 × 277.55
  4. Step 4: Simplify right side
    770.84x = 320,958.82
  5. Step 5: Solve for x
    x = 320,958.82/770.84
  6. Step 6: Final answer
    x = 416.38

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1.5x scale

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.