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Finding the Fourth Proportional to 770.22, 1,154.64 and 496.38

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Solution

The fourth proportional to 770.22, 1,154.64 and 496.38 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.22 : 1,154.64 = 496.38 : x
  2. Step 2: Convert to fraction form
    770.22/1,154.64 = 496.38/x
  3. Step 3: Cross multiply
    770.22x = 1,154.64 × 496.38
  4. Step 4: Simplify right side
    770.22x = 573,140.20
  5. Step 5: Solve for x
    x = 573,140.20/770.22
  6. Step 6: Final answer
    x = 744.13

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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.