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Finding the Fourth Proportional to 527.29, 790.53 and 180.42

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Solution

The fourth proportional to 527.29, 790.53 and 180.42 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.29 : 790.53 = 180.42 : x
  2. Step 2: Convert to fraction form
    527.29/790.53 = 180.42/x
  3. Step 3: Cross multiply
    527.29x = 790.53 × 180.42
  4. Step 4: Simplify right side
    527.29x = 142,627.42
  5. Step 5: Solve for x
    x = 142,627.42/527.29
  6. Step 6: Final answer
    x = 270.49

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Double scale
Find fourth proportional to 528.29, 792.03 and 181.42
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.