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Finding the Fourth Proportional to 1,031.26, 1,547.42 and 382.18

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Solution

The fourth proportional to 1,031.26, 1,547.42 and 382.18 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.26 : 1,547.42 = 382.18 : x
  2. Step 2: Convert to fraction form
    1,031.26/1,547.42 = 382.18/x
  3. Step 3: Cross multiply
    1,031.26x = 1,547.42 × 382.18
  4. Step 4: Simplify right side
    1,031.26x = 591,392.98
  5. Step 5: Solve for x
    x = 591,392.98/1,031.26
  6. Step 6: Final answer
    x = 573.47

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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.