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Finding the Fourth Proportional to 470.57, 649.35 and 284.06

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Solution

The fourth proportional to 470.57, 649.35 and 284.06 is: 391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.35 = 284.06 : x
  2. Step 2: Convert to fraction form
    470.57/649.35 = 284.06/x
  3. Step 3: Cross multiply
    470.57x = 649.35 × 284.06
  4. Step 4: Simplify right side
    470.57x = 184,455.98
  5. Step 5: Solve for x
    x = 184,455.98/470.57
  6. Step 6: Final answer
    x = 391.99

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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.