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Finding the Fourth Proportional to 517.23, 774.47 and 435.23

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Solution

The fourth proportional to 517.23, 774.47 and 435.23 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 774.47 = 435.23 : x
  2. Step 2: Convert to fraction form
    517.23/774.47 = 435.23/x
  3. Step 3: Cross multiply
    517.23x = 774.47 × 435.23
  4. Step 4: Simplify right side
    517.23x = 337,066.53
  5. Step 5: Solve for x
    x = 337,066.53/517.23
  6. Step 6: Final answer
    x = 651.68

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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.