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Finding the Fourth Proportional to 510.81, 769.94 and 420.59

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Solution

The fourth proportional to 510.81, 769.94 and 420.59 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 769.94 = 420.59 : x
  2. Step 2: Convert to fraction form
    510.81/769.94 = 420.59/x
  3. Step 3: Cross multiply
    510.81x = 769.94 × 420.59
  4. Step 4: Simplify right side
    510.81x = 323,830.46
  5. Step 5: Solve for x
    x = 323,830.46/510.81
  6. Step 6: Final answer
    x = 633.96

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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.