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Finding the Fourth Proportional to 770.12, 1,156.30 and 446.12

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Solution

The fourth proportional to 770.12, 1,156.30 and 446.12 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.12 : 1,156.30 = 446.12 : x
  2. Step 2: Convert to fraction form
    770.12/1,156.30 = 446.12/x
  3. Step 3: Cross multiply
    770.12x = 1,156.30 × 446.12
  4. Step 4: Simplify right side
    770.12x = 515,848.56
  5. Step 5: Solve for x
    x = 515,848.56/770.12
  6. Step 6: Final answer
    x = 669.83

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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.