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Finding the Fourth Proportional to 561.66, 774.72 and 430.44

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Solution

The fourth proportional to 561.66, 774.72 and 430.44 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 774.72 = 430.44 : x
  2. Step 2: Convert to fraction form
    561.66/774.72 = 430.44/x
  3. Step 3: Cross multiply
    561.66x = 774.72 × 430.44
  4. Step 4: Simplify right side
    561.66x = 333,470.48
  5. Step 5: Solve for x
    x = 333,470.48/561.66
  6. Step 6: Final answer
    x = 593.72

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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.