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Finding the Fourth Proportional to 561.44, 774.79 and 312.77

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Solution

The fourth proportional to 561.44, 774.79 and 312.77 is: 431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.44 : 774.79 = 312.77 : x
  2. Step 2: Convert to fraction form
    561.44/774.79 = 312.77/x
  3. Step 3: Cross multiply
    561.44x = 774.79 × 312.77
  4. Step 4: Simplify right side
    561.44x = 242,327.19
  5. Step 5: Solve for x
    x = 242,327.19/561.44
  6. Step 6: Final answer
    x = 431.62

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Find fourth proportional to 280.72, 387.40 and 156.38
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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.