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Finding the Fourth Proportional to 532.58, 802.82 and 486.44

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Solution

The fourth proportional to 532.58, 802.82 and 486.44 is: 733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 802.82 = 486.44 : x
  2. Step 2: Convert to fraction form
    532.58/802.82 = 486.44/x
  3. Step 3: Cross multiply
    532.58x = 802.82 × 486.44
  4. Step 4: Simplify right side
    532.58x = 390,517.31
  5. Step 5: Solve for x
    x = 390,517.31/532.58
  6. Step 6: Final answer
    x = 733.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.