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Finding the Fourth Proportional to 1,032.50, 1,546.92 and 685.01

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Solution

The fourth proportional to 1,032.50, 1,546.92 and 685.01 is: 1,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.50 : 1,546.92 = 685.01 : x
  2. Step 2: Convert to fraction form
    1,032.50/1,546.92 = 685.01/x
  3. Step 3: Cross multiply
    1,032.50x = 1,546.92 × 685.01
  4. Step 4: Simplify right side
    1,032.50x = 1,059,647.93
  5. Step 5: Solve for x
    x = 1,059,647.93/1,032.50
  6. Step 6: Final answer
    x = 1,026.30

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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.