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Finding the Fourth Proportional to 561.79, 774.33 and 462.00

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Solution

The fourth proportional to 561.79, 774.33 and 462.00 is: 636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 774.33 = 462.00 : x
  2. Step 2: Convert to fraction form
    561.79/774.33 = 462.00/x
  3. Step 3: Cross multiply
    561.79x = 774.33 × 462.00
  4. Step 4: Simplify right side
    561.79x = 357,745.53
  5. Step 5: Solve for x
    x = 357,745.53/561.79
  6. Step 6: Final answer
    x = 636.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.