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Finding the Fourth Proportional to 514.10, 699.80 and 514.10

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Solution

The fourth proportional to 514.10, 699.80 and 514.10 is: 699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 699.80 = 514.10 : x
  2. Step 2: Convert to fraction form
    514.10/699.80 = 514.10/x
  3. Step 3: Cross multiply
    514.10x = 699.80 × 514.10
  4. Step 4: Simplify right side
    514.10x = 359,767.18
  5. Step 5: Solve for x
    x = 359,767.18/514.10
  6. Step 6: Final answer
    x = 699.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.