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Finding the Fourth Proportional to 510.90, 764.67 and 439.62

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Solution

The fourth proportional to 510.90, 764.67 and 439.62 is: 657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 764.67 = 439.62 : x
  2. Step 2: Convert to fraction form
    510.90/764.67 = 439.62/x
  3. Step 3: Cross multiply
    510.90x = 764.67 × 439.62
  4. Step 4: Simplify right side
    510.90x = 336,162.03
  5. Step 5: Solve for x
    x = 336,162.03/510.90
  6. Step 6: Final answer
    x = 657.98

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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.