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Finding the Fourth Proportional to 561.80, 846.08 and 475.71

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Solution

The fourth proportional to 561.80, 846.08 and 475.71 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.80 : 846.08 = 475.71 : x
  2. Step 2: Convert to fraction form
    561.80/846.08 = 475.71/x
  3. Step 3: Cross multiply
    561.80x = 846.08 × 475.71
  4. Step 4: Simplify right side
    561.80x = 402,484.95
  5. Step 5: Solve for x
    x = 402,484.95/561.80
  6. Step 6: Final answer
    x = 716.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.