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Finding the Fourth Proportional to 425.34, 583.79 and 377.64

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Solution

The fourth proportional to 425.34, 583.79 and 377.64 is: 518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 583.79 = 377.64 : x
  2. Step 2: Convert to fraction form
    425.34/583.79 = 377.64/x
  3. Step 3: Cross multiply
    425.34x = 583.79 × 377.64
  4. Step 4: Simplify right side
    425.34x = 220,460.57
  5. Step 5: Solve for x
    x = 220,460.57/425.34
  6. Step 6: Final answer
    x = 518.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.