Home / 1,021.16-1,531.17-527.06

Finding the Fourth Proportional to 1,021.16, 1,531.17 and 527.06

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Solution

The fourth proportional to 1,021.16, 1,531.17 and 527.06 is: 790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.16 : 1,531.17 = 527.06 : x
  2. Step 2: Convert to fraction form
    1,021.16/1,531.17 = 527.06/x
  3. Step 3: Cross multiply
    1,021.16x = 1,531.17 × 527.06
  4. Step 4: Simplify right side
    1,021.16x = 807,018.46
  5. Step 5: Solve for x
    x = 807,018.46/1,021.16
  6. Step 6: Final answer
    x = 790.30

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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.