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Finding the Fourth Proportional to 536.50, 808.40 and 477.57

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Solution

The fourth proportional to 536.50, 808.40 and 477.57 is: 719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.50 : 808.40 = 477.57 : x
  2. Step 2: Convert to fraction form
    536.50/808.40 = 477.57/x
  3. Step 3: Cross multiply
    536.50x = 808.40 × 477.57
  4. Step 4: Simplify right side
    536.50x = 386,067.59
  5. Step 5: Solve for x
    x = 386,067.59/536.50
  6. Step 6: Final answer
    x = 719.60

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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.