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Finding the Fourth Proportional to 425.60, 635.50 and 375.77

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Solution

The fourth proportional to 425.60, 635.50 and 375.77 is: 561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 635.50 = 375.77 : x
  2. Step 2: Convert to fraction form
    425.60/635.50 = 375.77/x
  3. Step 3: Cross multiply
    425.60x = 635.50 × 375.77
  4. Step 4: Simplify right side
    425.60x = 238,801.84
  5. Step 5: Solve for x
    x = 238,801.84/425.60
  6. Step 6: Final answer
    x = 561.09

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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.