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Finding the Fourth Proportional to 423.77, 632.37 and 377.75

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Solution

The fourth proportional to 423.77, 632.37 and 377.75 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 632.37 = 377.75 : x
  2. Step 2: Convert to fraction form
    423.77/632.37 = 377.75/x
  3. Step 3: Cross multiply
    423.77x = 632.37 × 377.75
  4. Step 4: Simplify right side
    423.77x = 238,877.21
  5. Step 5: Solve for x
    x = 238,877.21/423.77
  6. Step 6: Final answer
    x = 563.70

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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.