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Finding the Fourth Proportional to 517.91, 780.66 and 510.62

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Solution

The fourth proportional to 517.91, 780.66 and 510.62 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.91 : 780.66 = 510.62 : x
  2. Step 2: Convert to fraction form
    517.91/780.66 = 510.62/x
  3. Step 3: Cross multiply
    517.91x = 780.66 × 510.62
  4. Step 4: Simplify right side
    517.91x = 398,616.71
  5. Step 5: Solve for x
    x = 398,616.71/517.91
  6. Step 6: Final answer
    x = 769.67

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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.