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Finding the Fourth Proportional to 510.40, 764.73 and 433.30

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Solution

The fourth proportional to 510.40, 764.73 and 433.30 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 764.73 = 433.30 : x
  2. Step 2: Convert to fraction form
    510.40/764.73 = 433.30/x
  3. Step 3: Cross multiply
    510.40x = 764.73 × 433.30
  4. Step 4: Simplify right side
    510.40x = 331,357.51
  5. Step 5: Solve for x
    x = 331,357.51/510.40
  6. Step 6: Final answer
    x = 649.21

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Double scale
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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.