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Finding the Fourth Proportional to 581.97, 804.15 and 415.89

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Solution

The fourth proportional to 581.97, 804.15 and 415.89 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.97 : 804.15 = 415.89 : x
  2. Step 2: Convert to fraction form
    581.97/804.15 = 415.89/x
  3. Step 3: Cross multiply
    581.97x = 804.15 × 415.89
  4. Step 4: Simplify right side
    581.97x = 334,437.94
  5. Step 5: Solve for x
    x = 334,437.94/581.97
  6. Step 6: Final answer
    x = 574.67

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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.