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Finding the Fourth Proportional to 536.58, 805.59 and 317.61

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Solution

The fourth proportional to 536.58, 805.59 and 317.61 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 805.59 = 317.61 : x
  2. Step 2: Convert to fraction form
    536.58/805.59 = 317.61/x
  3. Step 3: Cross multiply
    536.58x = 805.59 × 317.61
  4. Step 4: Simplify right side
    536.58x = 255,863.44
  5. Step 5: Solve for x
    x = 255,863.44/536.58
  6. Step 6: Final answer
    x = 476.84

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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.