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Finding the Fourth Proportional to 536.67, 803.61 and 445.10

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Solution

The fourth proportional to 536.67, 803.61 and 445.10 is: 666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 803.61 = 445.10 : x
  2. Step 2: Convert to fraction form
    536.67/803.61 = 445.10/x
  3. Step 3: Cross multiply
    536.67x = 803.61 × 445.10
  4. Step 4: Simplify right side
    536.67x = 357,682.79
  5. Step 5: Solve for x
    x = 357,682.79/536.67
  6. Step 6: Final answer
    x = 666.49

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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.