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Finding the Fourth Proportional to 1,032.02, 1,548.07 and 382.69

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Solution

The fourth proportional to 1,032.02, 1,548.07 and 382.69 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.02 : 1,548.07 = 382.69 : x
  2. Step 2: Convert to fraction form
    1,032.02/1,548.07 = 382.69/x
  3. Step 3: Cross multiply
    1,032.02x = 1,548.07 × 382.69
  4. Step 4: Simplify right side
    1,032.02x = 592,426.08
  5. Step 5: Solve for x
    x = 592,426.08/1,032.02
  6. Step 6: Final answer
    x = 574.05

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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.