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Finding the Fourth Proportional to 581.22, 801.72 and 457.29

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Solution

The fourth proportional to 581.22, 801.72 and 457.29 is: 630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 801.72 = 457.29 : x
  2. Step 2: Convert to fraction form
    581.22/801.72 = 457.29/x
  3. Step 3: Cross multiply
    581.22x = 801.72 × 457.29
  4. Step 4: Simplify right side
    581.22x = 366,618.54
  5. Step 5: Solve for x
    x = 366,618.54/581.22
  6. Step 6: Final answer
    x = 630.77

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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.