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Finding the Fourth Proportional to 510.28, 760.84 and 509.57

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Solution

The fourth proportional to 510.28, 760.84 and 509.57 is: 759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 760.84 = 509.57 : x
  2. Step 2: Convert to fraction form
    510.28/760.84 = 509.57/x
  3. Step 3: Cross multiply
    510.28x = 760.84 × 509.57
  4. Step 4: Simplify right side
    510.28x = 387,701.24
  5. Step 5: Solve for x
    x = 387,701.24/510.28
  6. Step 6: Final answer
    x = 759.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.