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Finding the Fourth Proportional to 581.57, 802.61 and 442.11

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Solution

The fourth proportional to 581.57, 802.61 and 442.11 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.57 : 802.61 = 442.11 : x
  2. Step 2: Convert to fraction form
    581.57/802.61 = 442.11/x
  3. Step 3: Cross multiply
    581.57x = 802.61 × 442.11
  4. Step 4: Simplify right side
    581.57x = 354,841.91
  5. Step 5: Solve for x
    x = 354,841.91/581.57
  6. Step 6: Final answer
    x = 610.14

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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.