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Finding the Fourth Proportional to 477.94, 656.14 and 465.88

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Solution

The fourth proportional to 477.94, 656.14 and 465.88 is: 639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 656.14 = 465.88 : x
  2. Step 2: Convert to fraction form
    477.94/656.14 = 465.88/x
  3. Step 3: Cross multiply
    477.94x = 656.14 × 465.88
  4. Step 4: Simplify right side
    477.94x = 305,682.50
  5. Step 5: Solve for x
    x = 305,682.50/477.94
  6. Step 6: Final answer
    x = 639.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.