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Finding the Fourth Proportional to 536.30, 800.64 and 458.44

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Solution

The fourth proportional to 536.30, 800.64 and 458.44 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 800.64 = 458.44 : x
  2. Step 2: Convert to fraction form
    536.30/800.64 = 458.44/x
  3. Step 3: Cross multiply
    536.30x = 800.64 × 458.44
  4. Step 4: Simplify right side
    536.30x = 367,045.40
  5. Step 5: Solve for x
    x = 367,045.40/536.30
  6. Step 6: Final answer
    x = 684.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.