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Finding the Fourth Proportional to 561.47, 774.73 and 318.90

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Solution

The fourth proportional to 561.47, 774.73 and 318.90 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.47 : 774.73 = 318.90 : x
  2. Step 2: Convert to fraction form
    561.47/774.73 = 318.90/x
  3. Step 3: Cross multiply
    561.47x = 774.73 × 318.90
  4. Step 4: Simplify right side
    561.47x = 247,064.70
  5. Step 5: Solve for x
    x = 247,064.70/561.47
  6. Step 6: Final answer
    x = 440.04

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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.