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Finding the Fourth Proportional to 431.21, 646.03 and 284.77

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Solution

The fourth proportional to 431.21, 646.03 and 284.77 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.21 : 646.03 = 284.77 : x
  2. Step 2: Convert to fraction form
    431.21/646.03 = 284.77/x
  3. Step 3: Cross multiply
    431.21x = 646.03 × 284.77
  4. Step 4: Simplify right side
    431.21x = 183,971.13
  5. Step 5: Solve for x
    x = 183,971.13/431.21
  6. Step 6: Final answer
    x = 426.64

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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.