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Finding the Fourth Proportional to 561.36, 840.92 and 439.05

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Solution

The fourth proportional to 561.36, 840.92 and 439.05 is: 657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.36 : 840.92 = 439.05 : x
  2. Step 2: Convert to fraction form
    561.36/840.92 = 439.05/x
  3. Step 3: Cross multiply
    561.36x = 840.92 × 439.05
  4. Step 4: Simplify right side
    561.36x = 369,207.02
  5. Step 5: Solve for x
    x = 369,207.02/561.36
  6. Step 6: Final answer
    x = 657.70

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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.