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Finding the Fourth Proportional to 561.41, 840.57 and 424.05

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Solution

The fourth proportional to 561.41, 840.57 and 424.05 is: 634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.41 : 840.57 = 424.05 : x
  2. Step 2: Convert to fraction form
    561.41/840.57 = 424.05/x
  3. Step 3: Cross multiply
    561.41x = 840.57 × 424.05
  4. Step 4: Simplify right side
    561.41x = 356,443.71
  5. Step 5: Solve for x
    x = 356,443.71/561.41
  6. Step 6: Final answer
    x = 634.91

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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.