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Finding the Fourth Proportional to 770.44, 1,156.83 and 615.91

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Solution

The fourth proportional to 770.44, 1,156.83 and 615.91 is: 924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,156.83 = 615.91 : x
  2. Step 2: Convert to fraction form
    770.44/1,156.83 = 615.91/x
  3. Step 3: Cross multiply
    770.44x = 1,156.83 × 615.91
  4. Step 4: Simplify right side
    770.44x = 712,503.17
  5. Step 5: Solve for x
    x = 712,503.17/770.44
  6. Step 6: Final answer
    x = 924.80

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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.