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Finding the Fourth Proportional to 627.58, 865.74 and 431.20

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Solution

The fourth proportional to 627.58, 865.74 and 431.20 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.58 : 865.74 = 431.20 : x
  2. Step 2: Convert to fraction form
    627.58/865.74 = 431.20/x
  3. Step 3: Cross multiply
    627.58x = 865.74 × 431.20
  4. Step 4: Simplify right side
    627.58x = 373,307.09
  5. Step 5: Solve for x
    x = 373,307.09/627.58
  6. Step 6: Final answer
    x = 594.84

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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.