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Finding the Fourth Proportional to 536.44, 802.98 and 432.76

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Solution

The fourth proportional to 536.44, 802.98 and 432.76 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 802.98 = 432.76 : x
  2. Step 2: Convert to fraction form
    536.44/802.98 = 432.76/x
  3. Step 3: Cross multiply
    536.44x = 802.98 × 432.76
  4. Step 4: Simplify right side
    536.44x = 347,497.62
  5. Step 5: Solve for x
    x = 347,497.62/536.44
  6. Step 6: Final answer
    x = 647.78

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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.