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Finding the Fourth Proportional to 1,031.94, 1,547.30 and 381.92

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Solution

The fourth proportional to 1,031.94, 1,547.30 and 381.92 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,547.30 = 381.92 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,547.30 = 381.92/x
  3. Step 3: Cross multiply
    1,031.94x = 1,547.30 × 381.92
  4. Step 4: Simplify right side
    1,031.94x = 590,938.03
  5. Step 5: Solve for x
    x = 590,938.03/1,031.94
  6. Step 6: Final answer
    x = 572.65

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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.