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Finding the Fourth Proportional to 536.40, 805.20 and 415.20

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Solution

The fourth proportional to 536.40, 805.20 and 415.20 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 805.20 = 415.20 : x
  2. Step 2: Convert to fraction form
    536.40/805.20 = 415.20/x
  3. Step 3: Cross multiply
    536.40x = 805.20 × 415.20
  4. Step 4: Simplify right side
    536.40x = 334,319.04
  5. Step 5: Solve for x
    x = 334,319.04/536.40
  6. Step 6: Final answer
    x = 623.26

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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.