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Finding the Fourth Proportional to 561.58, 775.38 and 431.44

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Solution

The fourth proportional to 561.58, 775.38 and 431.44 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.58 : 775.38 = 431.44 : x
  2. Step 2: Convert to fraction form
    561.58/775.38 = 431.44/x
  3. Step 3: Cross multiply
    561.58x = 775.38 × 431.44
  4. Step 4: Simplify right side
    561.58x = 334,529.95
  5. Step 5: Solve for x
    x = 334,529.95/561.58
  6. Step 6: Final answer
    x = 595.69

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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.