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Finding the Fourth Proportional to 536.29, 802.89 and 304.63

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Solution

The fourth proportional to 536.29, 802.89 and 304.63 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 802.89 = 304.63 : x
  2. Step 2: Convert to fraction form
    536.29/802.89 = 304.63/x
  3. Step 3: Cross multiply
    536.29x = 802.89 × 304.63
  4. Step 4: Simplify right side
    536.29x = 244,582.37
  5. Step 5: Solve for x
    x = 244,582.37/536.29
  6. Step 6: Final answer
    x = 456.07

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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.