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Finding the Fourth Proportional to 581.85, 802.11 and 415.98

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Solution

The fourth proportional to 581.85, 802.11 and 415.98 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 802.11 = 415.98 : x
  2. Step 2: Convert to fraction form
    581.85/802.11 = 415.98/x
  3. Step 3: Cross multiply
    581.85x = 802.11 × 415.98
  4. Step 4: Simplify right side
    581.85x = 333,661.72
  5. Step 5: Solve for x
    x = 333,661.72/581.85
  6. Step 6: Final answer
    x = 573.45

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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.