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Finding the Fourth Proportional to 770.17, 1,154.29 and 385.53

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Solution

The fourth proportional to 770.17, 1,154.29 and 385.53 is: 577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.17 : 1,154.29 = 385.53 : x
  2. Step 2: Convert to fraction form
    770.17/1,154.29 = 385.53/x
  3. Step 3: Cross multiply
    770.17x = 1,154.29 × 385.53
  4. Step 4: Simplify right side
    770.17x = 445,013.42
  5. Step 5: Solve for x
    x = 445,013.42/770.17
  6. Step 6: Final answer
    x = 577.81

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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.