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Finding the Fourth Proportional to 581.67, 801.88 and 415.62

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Solution

The fourth proportional to 581.67, 801.88 and 415.62 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.67 : 801.88 = 415.62 : x
  2. Step 2: Convert to fraction form
    581.67/801.88 = 415.62/x
  3. Step 3: Cross multiply
    581.67x = 801.88 × 415.62
  4. Step 4: Simplify right side
    581.67x = 333,277.37
  5. Step 5: Solve for x
    x = 333,277.37/581.67
  6. Step 6: Final answer
    x = 572.97

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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.