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Finding the Fourth Proportional to 561.93, 775 and 362.77

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Solution

The fourth proportional to 561.93, 775 and 362.77 is: 500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 775 = 362.77 : x
  2. Step 2: Convert to fraction form
    561.93/775 = 362.77/x
  3. Step 3: Cross multiply
    561.93x = 775 × 362.77
  4. Step 4: Simplify right side
    561.93x = 281,146.75
  5. Step 5: Solve for x
    x = 281,146.75/561.93
  6. Step 6: Final answer
    x = 500.32

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Find fourth proportional to 280.97, 387.50 and 181.39
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Double scale
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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.