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Finding the Fourth Proportional to 510.44, 764.18 and 457.68

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Solution

The fourth proportional to 510.44, 764.18 and 457.68 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 764.18 = 457.68 : x
  2. Step 2: Convert to fraction form
    510.44/764.18 = 457.68/x
  3. Step 3: Cross multiply
    510.44x = 764.18 × 457.68
  4. Step 4: Simplify right side
    510.44x = 349,749.90
  5. Step 5: Solve for x
    x = 349,749.90/510.44
  6. Step 6: Final answer
    x = 685.19

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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.