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Finding the Fourth Proportional to 561.30, 774.90 and 430.56

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Solution

The fourth proportional to 561.30, 774.90 and 430.56 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 774.90 = 430.56 : x
  2. Step 2: Convert to fraction form
    561.30/774.90 = 430.56/x
  3. Step 3: Cross multiply
    561.30x = 774.90 × 430.56
  4. Step 4: Simplify right side
    561.30x = 333,640.94
  5. Step 5: Solve for x
    x = 333,640.94/561.30
  6. Step 6: Final answer
    x = 594.41

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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.