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Finding the Fourth Proportional to 527.34, 790.78 and 445.12

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Solution

The fourth proportional to 527.34, 790.78 and 445.12 is: 667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.34 : 790.78 = 445.12 : x
  2. Step 2: Convert to fraction form
    527.34/790.78 = 445.12/x
  3. Step 3: Cross multiply
    527.34x = 790.78 × 445.12
  4. Step 4: Simplify right side
    527.34x = 351,991.99
  5. Step 5: Solve for x
    x = 351,991.99/527.34
  6. Step 6: Final answer
    x = 667.49

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Half scale
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Double scale
Find fourth proportional to 528.34, 792.28 and 446.12
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.