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Finding the Fourth Proportional to 534.48, 802.26 and 480

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Solution

The fourth proportional to 534.48, 802.26 and 480 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 802.26 = 480 : x
  2. Step 2: Convert to fraction form
    534.48/802.26 = 480/x
  3. Step 3: Cross multiply
    534.48x = 802.26 × 480
  4. Step 4: Simplify right side
    534.48x = 385,084.80
  5. Step 5: Solve for x
    x = 385,084.80/534.48
  6. Step 6: Final answer
    x = 720.48

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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.