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Finding the Fourth Proportional to 516, 770.40 and 461.28

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Solution

The fourth proportional to 516, 770.40 and 461.28 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 770.40 = 461.28 : x
  2. Step 2: Convert to fraction form
    516/770.40 = 461.28/x
  3. Step 3: Cross multiply
    516x = 770.40 × 461.28
  4. Step 4: Simplify right side
    516x = 355,370.11
  5. Step 5: Solve for x
    x = 355,370.11/516
  6. Step 6: Final answer
    x = 688.70

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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.