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Finding the Fourth Proportional to 510.81, 765.07 and 380.95

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Solution

The fourth proportional to 510.81, 765.07 and 380.95 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 765.07 = 380.95 : x
  2. Step 2: Convert to fraction form
    510.81/765.07 = 380.95/x
  3. Step 3: Cross multiply
    510.81x = 765.07 × 380.95
  4. Step 4: Simplify right side
    510.81x = 291,455.93
  5. Step 5: Solve for x
    x = 291,455.93/510.81
  6. Step 6: Final answer
    x = 570.58

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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.