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Finding the Fourth Proportional to 437.80, 653.81 and 377.08

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Solution

The fourth proportional to 437.80, 653.81 and 377.08 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 653.81 = 377.08 : x
  2. Step 2: Convert to fraction form
    437.80/653.81 = 377.08/x
  3. Step 3: Cross multiply
    437.80x = 653.81 × 377.08
  4. Step 4: Simplify right side
    437.80x = 246,538.67
  5. Step 5: Solve for x
    x = 246,538.67/437.80
  6. Step 6: Final answer
    x = 563.13

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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.