Home / 1,031.13-1,547.19-511.18

Finding the Fourth Proportional to 1,031.13, 1,547.19 and 511.18

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Solution

The fourth proportional to 1,031.13, 1,547.19 and 511.18 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.13 : 1,547.19 = 511.18 : x
  2. Step 2: Convert to fraction form
    1,031.13/1,547.19 = 511.18/x
  3. Step 3: Cross multiply
    1,031.13x = 1,547.19 × 511.18
  4. Step 4: Simplify right side
    1,031.13x = 790,888.72
  5. Step 5: Solve for x
    x = 790,888.72/1,031.13
  6. Step 6: Final answer
    x = 767.01

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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.