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Finding the Fourth Proportional to 536.57, 805.14 and 354.05

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Solution

The fourth proportional to 536.57, 805.14 and 354.05 is: 531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.57 : 805.14 = 354.05 : x
  2. Step 2: Convert to fraction form
    536.57/805.14 = 354.05/x
  3. Step 3: Cross multiply
    536.57x = 805.14 × 354.05
  4. Step 4: Simplify right side
    536.57x = 285,055.79
  5. Step 5: Solve for x
    x = 285,055.79/536.57
  6. Step 6: Final answer
    x = 531.26

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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.