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Finding the Fourth Proportional to 504.85, 755.71 and 431.05

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Solution

The fourth proportional to 504.85, 755.71 and 431.05 is: 645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.85 : 755.71 = 431.05 : x
  2. Step 2: Convert to fraction form
    504.85/755.71 = 431.05/x
  3. Step 3: Cross multiply
    504.85x = 755.71 × 431.05
  4. Step 4: Simplify right side
    504.85x = 325,747.45
  5. Step 5: Solve for x
    x = 325,747.45/504.85
  6. Step 6: Final answer
    x = 645.24

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.