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Finding the Fourth Proportional to 477.83, 659.73 and 347.22

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Solution

The fourth proportional to 477.83, 659.73 and 347.22 is: 479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.83 : 659.73 = 347.22 : x
  2. Step 2: Convert to fraction form
    477.83/659.73 = 347.22/x
  3. Step 3: Cross multiply
    477.83x = 659.73 × 347.22
  4. Step 4: Simplify right side
    477.83x = 229,071.45
  5. Step 5: Solve for x
    x = 229,071.45/477.83
  6. Step 6: Final answer
    x = 479.40

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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.