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Finding the Fourth Proportional to 470.90, 650.04 and 284.35

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Solution

The fourth proportional to 470.90, 650.04 and 284.35 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 650.04 = 284.35 : x
  2. Step 2: Convert to fraction form
    470.90/650.04 = 284.35/x
  3. Step 3: Cross multiply
    470.90x = 650.04 × 284.35
  4. Step 4: Simplify right side
    470.90x = 184,840.04
  5. Step 5: Solve for x
    x = 184,840.04/470.90
  6. Step 6: Final answer
    x = 392.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.