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Finding the Fourth Proportional to 581.81, 802.81 and 369.04

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Solution

The fourth proportional to 581.81, 802.81 and 369.04 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.81 : 802.81 = 369.04 : x
  2. Step 2: Convert to fraction form
    581.81/802.81 = 369.04/x
  3. Step 3: Cross multiply
    581.81x = 802.81 × 369.04
  4. Step 4: Simplify right side
    581.81x = 296,269.00
  5. Step 5: Solve for x
    x = 296,269.00/581.81
  6. Step 6: Final answer
    x = 509.22

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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.