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Finding the Fourth Proportional to 561.16, 842.55 and 399.70

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Solution

The fourth proportional to 561.16, 842.55 and 399.70 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 842.55 = 399.70 : x
  2. Step 2: Convert to fraction form
    561.16/842.55 = 399.70/x
  3. Step 3: Cross multiply
    561.16x = 842.55 × 399.70
  4. Step 4: Simplify right side
    561.16x = 336,767.24
  5. Step 5: Solve for x
    x = 336,767.24/561.16
  6. Step 6: Final answer
    x = 600.13

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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.