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Finding the Fourth Proportional to 561.70, 774.07 and 421.46

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Solution

The fourth proportional to 561.70, 774.07 and 421.46 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 774.07 = 421.46 : x
  2. Step 2: Convert to fraction form
    561.70/774.07 = 421.46/x
  3. Step 3: Cross multiply
    561.70x = 774.07 × 421.46
  4. Step 4: Simplify right side
    561.70x = 326,239.54
  5. Step 5: Solve for x
    x = 326,239.54/561.70
  6. Step 6: Final answer
    x = 580.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.