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Finding the Fourth Proportional to 561.44, 841.41 and 430.94

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Solution

The fourth proportional to 561.44, 841.41 and 430.94 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.44 : 841.41 = 430.94 : x
  2. Step 2: Convert to fraction form
    561.44/841.41 = 430.94/x
  3. Step 3: Cross multiply
    561.44x = 841.41 × 430.94
  4. Step 4: Simplify right side
    561.44x = 362,590.86
  5. Step 5: Solve for x
    x = 362,590.86/561.44
  6. Step 6: Final answer
    x = 645.83

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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.