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Finding the Fourth Proportional to 1,032.34, 1,547.52 and 382.72

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Solution

The fourth proportional to 1,032.34, 1,547.52 and 382.72 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.34 : 1,547.52 = 382.72 : x
  2. Step 2: Convert to fraction form
    1,032.34/1,547.52 = 382.72/x
  3. Step 3: Cross multiply
    1,032.34x = 1,547.52 × 382.72
  4. Step 4: Simplify right side
    1,032.34x = 592,266.85
  5. Step 5: Solve for x
    x = 592,266.85/1,032.34
  6. Step 6: Final answer
    x = 573.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.