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Finding the Fourth Proportional to 802.38, 1,204.29 and 541.74

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Solution

The fourth proportional to 802.38, 1,204.29 and 541.74 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.38 : 1,204.29 = 541.74 : x
  2. Step 2: Convert to fraction form
    802.38/1,204.29 = 541.74/x
  3. Step 3: Cross multiply
    802.38x = 1,204.29 × 541.74
  4. Step 4: Simplify right side
    802.38x = 652,412.06
  5. Step 5: Solve for x
    x = 652,412.06/802.38
  6. Step 6: Final answer
    x = 813.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.