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Finding the Fourth Proportional to 536.69, 805.71 and 464.02

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Solution

The fourth proportional to 536.69, 805.71 and 464.02 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.69 : 805.71 = 464.02 : x
  2. Step 2: Convert to fraction form
    536.69/805.71 = 464.02/x
  3. Step 3: Cross multiply
    536.69x = 805.71 × 464.02
  4. Step 4: Simplify right side
    536.69x = 373,865.55
  5. Step 5: Solve for x
    x = 373,865.55/536.69
  6. Step 6: Final answer
    x = 696.61

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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.