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Finding the Fourth Proportional to 770.66, 1,156.01 and 337.82

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Solution

The fourth proportional to 770.66, 1,156.01 and 337.82 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.66 : 1,156.01 = 337.82 : x
  2. Step 2: Convert to fraction form
    770.66/1,156.01 = 337.82/x
  3. Step 3: Cross multiply
    770.66x = 1,156.01 × 337.82
  4. Step 4: Simplify right side
    770.66x = 390,523.30
  5. Step 5: Solve for x
    x = 390,523.30/770.66
  6. Step 6: Final answer
    x = 506.74

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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.