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Finding the Fourth Proportional to 477.60, 713.88 and 466.08

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Solution

The fourth proportional to 477.60, 713.88 and 466.08 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 713.88 = 466.08 : x
  2. Step 2: Convert to fraction form
    477.60/713.88 = 466.08/x
  3. Step 3: Cross multiply
    477.60x = 713.88 × 466.08
  4. Step 4: Simplify right side
    477.60x = 332,725.19
  5. Step 5: Solve for x
    x = 332,725.19/477.60
  6. Step 6: Final answer
    x = 696.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.