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Finding the Fourth Proportional to 536.54, 743.55 and 526.82

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Solution

The fourth proportional to 536.54, 743.55 and 526.82 is: 730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 743.55 = 526.82 : x
  2. Step 2: Convert to fraction form
    536.54/743.55 = 526.82/x
  3. Step 3: Cross multiply
    536.54x = 743.55 × 526.82
  4. Step 4: Simplify right side
    536.54x = 391,711.32
  5. Step 5: Solve for x
    x = 391,711.32/536.54
  6. Step 6: Final answer
    x = 730.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.