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Finding the Fourth Proportional to 470.79, 649.68 and 284.27

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Solution

The fourth proportional to 470.79, 649.68 and 284.27 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.79 : 649.68 = 284.27 : x
  2. Step 2: Convert to fraction form
    470.79/649.68 = 284.27/x
  3. Step 3: Cross multiply
    470.79x = 649.68 × 284.27
  4. Step 4: Simplify right side
    470.79x = 184,681.74
  5. Step 5: Solve for x
    x = 184,681.74/470.79
  6. Step 6: Final answer
    x = 392.28

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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.