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Finding the Fourth Proportional to 534.60, 802.28 and 397.22

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Solution

The fourth proportional to 534.60, 802.28 and 397.22 is: 596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 802.28 = 397.22 : x
  2. Step 2: Convert to fraction form
    534.60/802.28 = 397.22/x
  3. Step 3: Cross multiply
    534.60x = 802.28 × 397.22
  4. Step 4: Simplify right side
    534.60x = 318,681.66
  5. Step 5: Solve for x
    x = 318,681.66/534.60
  6. Step 6: Final answer
    x = 596.11

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Why These Related Problems?

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