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Finding the Fourth Proportional to 536.60, 805.06 and 383.52

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Solution

The fourth proportional to 536.60, 805.06 and 383.52 is: 575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 805.06 = 383.52 : x
  2. Step 2: Convert to fraction form
    536.60/805.06 = 383.52/x
  3. Step 3: Cross multiply
    536.60x = 805.06 × 383.52
  4. Step 4: Simplify right side
    536.60x = 308,756.61
  5. Step 5: Solve for x
    x = 308,756.61/536.60
  6. Step 6: Final answer
    x = 575.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.