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Finding the Fourth Proportional to 536.87, 808.04 and 457.58

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Solution

The fourth proportional to 536.87, 808.04 and 457.58 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 808.04 = 457.58 : x
  2. Step 2: Convert to fraction form
    536.87/808.04 = 457.58/x
  3. Step 3: Cross multiply
    536.87x = 808.04 × 457.58
  4. Step 4: Simplify right side
    536.87x = 369,736.62
  5. Step 5: Solve for x
    x = 369,736.62/536.87
  6. Step 6: Final answer
    x = 688.70

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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.