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Finding the Fourth Proportional to 536.47, 799.90 and 526.75

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Solution

The fourth proportional to 536.47, 799.90 and 526.75 is: 785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.47 : 799.90 = 526.75 : x
  2. Step 2: Convert to fraction form
    536.47/799.90 = 526.75/x
  3. Step 3: Cross multiply
    536.47x = 799.90 × 526.75
  4. Step 4: Simplify right side
    536.47x = 421,347.33
  5. Step 5: Solve for x
    x = 421,347.33/536.47
  6. Step 6: Final answer
    x = 785.41

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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.