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Finding the Fourth Proportional to 1,032.03, 1,548.32 and 382.95

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Solution

The fourth proportional to 1,032.03, 1,548.32 and 382.95 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.03 : 1,548.32 = 382.95 : x
  2. Step 2: Convert to fraction form
    1,032.03/1,548.32 = 382.95/x
  3. Step 3: Cross multiply
    1,032.03x = 1,548.32 × 382.95
  4. Step 4: Simplify right side
    1,032.03x = 592,929.14
  5. Step 5: Solve for x
    x = 592,929.14/1,032.03
  6. Step 6: Final answer
    x = 574.53

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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.