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Finding the Fourth Proportional to 466.65, 643.08 and 348.77

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Solution

The fourth proportional to 466.65, 643.08 and 348.77 is: 480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 643.08 = 348.77 : x
  2. Step 2: Convert to fraction form
    466.65/643.08 = 348.77/x
  3. Step 3: Cross multiply
    466.65x = 643.08 × 348.77
  4. Step 4: Simplify right side
    466.65x = 224,283.80
  5. Step 5: Solve for x
    x = 224,283.80/466.65
  6. Step 6: Final answer
    x = 480.63

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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.