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Finding the Fourth Proportional to 536.10, 802.44 and 406.32

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Solution

The fourth proportional to 536.10, 802.44 and 406.32 is: 608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 802.44 = 406.32 : x
  2. Step 2: Convert to fraction form
    536.10/802.44 = 406.32/x
  3. Step 3: Cross multiply
    536.10x = 802.44 × 406.32
  4. Step 4: Simplify right side
    536.10x = 326,047.42
  5. Step 5: Solve for x
    x = 326,047.42/536.10
  6. Step 6: Final answer
    x = 608.18

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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.