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Finding the Fourth Proportional to 470.09, 647.68 and 312.45

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Solution

The fourth proportional to 470.09, 647.68 and 312.45 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 647.68 = 312.45 : x
  2. Step 2: Convert to fraction form
    470.09/647.68 = 312.45/x
  3. Step 3: Cross multiply
    470.09x = 647.68 × 312.45
  4. Step 4: Simplify right side
    470.09x = 202,362.82
  5. Step 5: Solve for x
    x = 202,362.82/470.09
  6. Step 6: Final answer
    x = 430.48

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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.