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Finding the Fourth Proportional to 536.64, 800.72 and 468.08

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Solution

The fourth proportional to 536.64, 800.72 and 468.08 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 800.72 = 468.08 : x
  2. Step 2: Convert to fraction form
    536.64/800.72 = 468.08/x
  3. Step 3: Cross multiply
    536.64x = 800.72 × 468.08
  4. Step 4: Simplify right side
    536.64x = 374,801.02
  5. Step 5: Solve for x
    x = 374,801.02/536.64
  6. Step 6: Final answer
    x = 698.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.