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Finding the Fourth Proportional to 1,685.73, 2,526.88 and 645.46

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Solution

The fourth proportional to 1,685.73, 2,526.88 and 645.46 is: 967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.73 : 2,526.88 = 645.46 : x
  2. Step 2: Convert to fraction form
    1,685.73/2,526.88 = 645.46/x
  3. Step 3: Cross multiply
    1,685.73x = 2,526.88 × 645.46
  4. Step 4: Simplify right side
    1,685.73x = 1,631,006.28
  5. Step 5: Solve for x
    x = 1,631,006.28/1,685.73
  6. Step 6: Final answer
    x = 967.54

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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.