Home / 1,031.36-1,547.24-382.14

Finding the Fourth Proportional to 1,031.36, 1,547.24 and 382.14

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Solution

The fourth proportional to 1,031.36, 1,547.24 and 382.14 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.36 : 1,547.24 = 382.14 : x
  2. Step 2: Convert to fraction form
    1,031.36/1,547.24 = 382.14/x
  3. Step 3: Cross multiply
    1,031.36x = 1,547.24 × 382.14
  4. Step 4: Simplify right side
    1,031.36x = 591,260.38
  5. Step 5: Solve for x
    x = 591,260.38/1,031.36
  6. Step 6: Final answer
    x = 573.29

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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.