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Finding the Fourth Proportional to 581.29, 801.72 and 511.21

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Solution

The fourth proportional to 581.29, 801.72 and 511.21 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.29 : 801.72 = 511.21 : x
  2. Step 2: Convert to fraction form
    581.29/801.72 = 511.21/x
  3. Step 3: Cross multiply
    581.29x = 801.72 × 511.21
  4. Step 4: Simplify right side
    581.29x = 409,840.72
  5. Step 5: Solve for x
    x = 409,840.72/581.29
  6. Step 6: Final answer
    x = 705.05

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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.