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Finding the Fourth Proportional to 514.35, 705.09 and 505.03

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Solution

The fourth proportional to 514.35, 705.09 and 505.03 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 705.09 = 505.03 : x
  2. Step 2: Convert to fraction form
    514.35/705.09 = 505.03/x
  3. Step 3: Cross multiply
    514.35x = 705.09 × 505.03
  4. Step 4: Simplify right side
    514.35x = 356,091.60
  5. Step 5: Solve for x
    x = 356,091.60/514.35
  6. Step 6: Final answer
    x = 692.31

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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.