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Finding the Fourth Proportional to 403.16, 607.78 and 377.60

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Solution

The fourth proportional to 403.16, 607.78 and 377.60 is: 569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 607.78 = 377.60 : x
  2. Step 2: Convert to fraction form
    403.16/607.78 = 377.60/x
  3. Step 3: Cross multiply
    403.16x = 607.78 × 377.60
  4. Step 4: Simplify right side
    403.16x = 229,497.73
  5. Step 5: Solve for x
    x = 229,497.73/403.16
  6. Step 6: Final answer
    x = 569.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.