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Finding the Fourth Proportional to 514.53, 705.42 and 505.31

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Solution

The fourth proportional to 514.53, 705.42 and 505.31 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 705.42 = 505.31 : x
  2. Step 2: Convert to fraction form
    514.53/705.42 = 505.31/x
  3. Step 3: Cross multiply
    514.53x = 705.42 × 505.31
  4. Step 4: Simplify right side
    514.53x = 356,455.78
  5. Step 5: Solve for x
    x = 356,455.78/514.53
  6. Step 6: Final answer
    x = 692.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.