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Finding the Fourth Proportional to 510.45, 764.91 and 433.59

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Solution

The fourth proportional to 510.45, 764.91 and 433.59 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 764.91 = 433.59 : x
  2. Step 2: Convert to fraction form
    510.45/764.91 = 433.59/x
  3. Step 3: Cross multiply
    510.45x = 764.91 × 433.59
  4. Step 4: Simplify right side
    510.45x = 331,657.33
  5. Step 5: Solve for x
    x = 331,657.33/510.45
  6. Step 6: Final answer
    x = 649.74

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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.