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Finding the Fourth Proportional to 561.62, 841.74 and 406.70

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Solution

The fourth proportional to 561.62, 841.74 and 406.70 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 841.74 = 406.70 : x
  2. Step 2: Convert to fraction form
    561.62/841.74 = 406.70/x
  3. Step 3: Cross multiply
    561.62x = 841.74 × 406.70
  4. Step 4: Simplify right side
    561.62x = 342,335.66
  5. Step 5: Solve for x
    x = 342,335.66/561.62
  6. Step 6: Final answer
    x = 609.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.