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Finding the Fourth Proportional to 466.88, 642.72 and 425.60

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Solution

The fourth proportional to 466.88, 642.72 and 425.60 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.88 : 642.72 = 425.60 : x
  2. Step 2: Convert to fraction form
    466.88/642.72 = 425.60/x
  3. Step 3: Cross multiply
    466.88x = 642.72 × 425.60
  4. Step 4: Simplify right side
    466.88x = 273,541.63
  5. Step 5: Solve for x
    x = 273,541.63/466.88
  6. Step 6: Final answer
    x = 585.89

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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.