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Finding the Fourth Proportional to 1,683.39, 2,525.36 and 572.91

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Solution

The fourth proportional to 1,683.39, 2,525.36 and 572.91 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.39 : 2,525.36 = 572.91 : x
  2. Step 2: Convert to fraction form
    1,683.39/2,525.36 = 572.91/x
  3. Step 3: Cross multiply
    1,683.39x = 2,525.36 × 572.91
  4. Step 4: Simplify right side
    1,683.39x = 1,446,793.27
  5. Step 5: Solve for x
    x = 1,446,793.27/1,683.39
  6. Step 6: Final answer
    x = 859.45

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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.