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Finding the Fourth Proportional to 470.63, 647.64 and 359.66

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Solution

The fourth proportional to 470.63, 647.64 and 359.66 is: 494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 647.64 = 359.66 : x
  2. Step 2: Convert to fraction form
    470.63/647.64 = 359.66/x
  3. Step 3: Cross multiply
    470.63x = 647.64 × 359.66
  4. Step 4: Simplify right side
    470.63x = 232,926.96
  5. Step 5: Solve for x
    x = 232,926.96/470.63
  6. Step 6: Final answer
    x = 494.93

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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.