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Finding the Fourth Proportional to 1,666.83, 2,500.05 and 434.25

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Solution

The fourth proportional to 1,666.83, 2,500.05 and 434.25 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.83 : 2,500.05 = 434.25 : x
  2. Step 2: Convert to fraction form
    1,666.83/2,500.05 = 434.25/x
  3. Step 3: Cross multiply
    1,666.83x = 2,500.05 × 434.25
  4. Step 4: Simplify right side
    1,666.83x = 1,085,646.71
  5. Step 5: Solve for x
    x = 1,085,646.71/1,666.83
  6. Step 6: Final answer
    x = 651.32

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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.