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Finding the Fourth Proportional to 561.12, 840.86 and 416.94

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Solution

The fourth proportional to 561.12, 840.86 and 416.94 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 840.86 = 416.94 : x
  2. Step 2: Convert to fraction form
    561.12/840.86 = 416.94/x
  3. Step 3: Cross multiply
    561.12x = 840.86 × 416.94
  4. Step 4: Simplify right side
    561.12x = 350,588.17
  5. Step 5: Solve for x
    x = 350,588.17/561.12
  6. Step 6: Final answer
    x = 624.80

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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.