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Finding the Fourth Proportional to 1,666.59, 2,500.29 and 692.16

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Solution

The fourth proportional to 1,666.59, 2,500.29 and 692.16 is: 1,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.59 : 2,500.29 = 692.16 : x
  2. Step 2: Convert to fraction form
    1,666.59/2,500.29 = 692.16/x
  3. Step 3: Cross multiply
    1,666.59x = 2,500.29 × 692.16
  4. Step 4: Simplify right side
    1,666.59x = 1,730,600.73
  5. Step 5: Solve for x
    x = 1,730,600.73/1,666.59
  6. Step 6: Final answer
    x = 1,038.41

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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.