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Finding the Fourth Proportional to 561.35, 842.03 and 469.19

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Solution

The fourth proportional to 561.35, 842.03 and 469.19 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.35 : 842.03 = 469.19 : x
  2. Step 2: Convert to fraction form
    561.35/842.03 = 469.19/x
  3. Step 3: Cross multiply
    561.35x = 842.03 × 469.19
  4. Step 4: Simplify right side
    561.35x = 395,065.50
  5. Step 5: Solve for x
    x = 395,065.50/561.35
  6. Step 6: Final answer
    x = 703.78

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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.