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Finding the Fourth Proportional to 434.40, 648.42 and 377.02

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Solution

The fourth proportional to 434.40, 648.42 and 377.02 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 648.42 = 377.02 : x
  2. Step 2: Convert to fraction form
    434.40/648.42 = 377.02/x
  3. Step 3: Cross multiply
    434.40x = 648.42 × 377.02
  4. Step 4: Simplify right side
    434.40x = 244,467.31
  5. Step 5: Solve for x
    x = 244,467.31/434.40
  6. Step 6: Final answer
    x = 562.77

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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.