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Finding the Fourth Proportional to 581.23, 801.63 and 511.14

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Solution

The fourth proportional to 581.23, 801.63 and 511.14 is: 704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.23 : 801.63 = 511.14 : x
  2. Step 2: Convert to fraction form
    581.23/801.63 = 511.14/x
  3. Step 3: Cross multiply
    581.23x = 801.63 × 511.14
  4. Step 4: Simplify right side
    581.23x = 409,745.16
  5. Step 5: Solve for x
    x = 409,745.16/581.23
  6. Step 6: Final answer
    x = 704.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.