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Finding the Fourth Proportional to 509.13, 705.54 and 499.41

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Solution

The fourth proportional to 509.13, 705.54 and 499.41 is: 692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.13 : 705.54 = 499.41 : x
  2. Step 2: Convert to fraction form
    509.13/705.54 = 499.41/x
  3. Step 3: Cross multiply
    509.13x = 705.54 × 499.41
  4. Step 4: Simplify right side
    509.13x = 352,353.73
  5. Step 5: Solve for x
    x = 352,353.73/509.13
  6. Step 6: Final answer
    x = 692.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.