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Finding the Fourth Proportional to 510.07, 764.31 and 380.90

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Solution

The fourth proportional to 510.07, 764.31 and 380.90 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 764.31 = 380.90 : x
  2. Step 2: Convert to fraction form
    510.07/764.31 = 380.90/x
  3. Step 3: Cross multiply
    510.07x = 764.31 × 380.90
  4. Step 4: Simplify right side
    510.07x = 291,127.95
  5. Step 5: Solve for x
    x = 291,127.95/510.07
  6. Step 6: Final answer
    x = 570.76

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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.