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Finding the Fourth Proportional to 470.16, 647.82 and 322.47

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Solution

The fourth proportional to 470.16, 647.82 and 322.47 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 647.82 = 322.47 : x
  2. Step 2: Convert to fraction form
    470.16/647.82 = 322.47/x
  3. Step 3: Cross multiply
    470.16x = 647.82 × 322.47
  4. Step 4: Simplify right side
    470.16x = 208,902.52
  5. Step 5: Solve for x
    x = 208,902.52/470.16
  6. Step 6: Final answer
    x = 444.32

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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.