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Finding the Fourth Proportional to 405.66, 607.62 and 377.16

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Solution

The fourth proportional to 405.66, 607.62 and 377.16 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 607.62 = 377.16 : x
  2. Step 2: Convert to fraction form
    405.66/607.62 = 377.16/x
  3. Step 3: Cross multiply
    405.66x = 607.62 × 377.16
  4. Step 4: Simplify right side
    405.66x = 229,169.96
  5. Step 5: Solve for x
    x = 229,169.96/405.66
  6. Step 6: Final answer
    x = 564.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.