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Finding the Fourth Proportional to 1,685.99, 2,529.18 and 575.59

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Solution

The fourth proportional to 1,685.99, 2,529.18 and 575.59 is: 863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.99 : 2,529.18 = 575.59 : x
  2. Step 2: Convert to fraction form
    1,685.99/2,529.18 = 575.59/x
  3. Step 3: Cross multiply
    1,685.99x = 2,529.18 × 575.59
  4. Step 4: Simplify right side
    1,685.99x = 1,455,764.39
  5. Step 5: Solve for x
    x = 1,455,764.39/1,685.99
  6. Step 6: Final answer
    x = 863.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.