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Finding the Fourth Proportional to 1,666.96, 2,500.37 and 417.55

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Solution

The fourth proportional to 1,666.96, 2,500.37 and 417.55 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.96 : 2,500.37 = 417.55 : x
  2. Step 2: Convert to fraction form
    1,666.96/2,500.37 = 417.55/x
  3. Step 3: Cross multiply
    1,666.96x = 2,500.37 × 417.55
  4. Step 4: Simplify right side
    1,666.96x = 1,044,027.41
  5. Step 5: Solve for x
    x = 1,044,027.41/1,666.96
  6. Step 6: Final answer
    x = 626.31

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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.