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Finding the Fourth Proportional to 510.56, 769.51 and 482.30

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Solution

The fourth proportional to 510.56, 769.51 and 482.30 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 769.51 = 482.30 : x
  2. Step 2: Convert to fraction form
    510.56/769.51 = 482.30/x
  3. Step 3: Cross multiply
    510.56x = 769.51 × 482.30
  4. Step 4: Simplify right side
    510.56x = 371,134.67
  5. Step 5: Solve for x
    x = 371,134.67/510.56
  6. Step 6: Final answer
    x = 726.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.