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Finding the Fourth Proportional to 1,666.96, 2,500.14 and 556.36

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Solution

The fourth proportional to 1,666.96, 2,500.14 and 556.36 is: 834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.96 : 2,500.14 = 556.36 : x
  2. Step 2: Convert to fraction form
    1,666.96/2,500.14 = 556.36/x
  3. Step 3: Cross multiply
    1,666.96x = 2,500.14 × 556.36
  4. Step 4: Simplify right side
    1,666.96x = 1,390,977.89
  5. Step 5: Solve for x
    x = 1,390,977.89/1,666.96
  6. Step 6: Final answer
    x = 834.44

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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.