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Finding the Fourth Proportional to 434.14, 648.04 and 376.77

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Solution

The fourth proportional to 434.14, 648.04 and 376.77 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 648.04 = 376.77 : x
  2. Step 2: Convert to fraction form
    434.14/648.04 = 376.77/x
  3. Step 3: Cross multiply
    434.14x = 648.04 × 376.77
  4. Step 4: Simplify right side
    434.14x = 244,162.03
  5. Step 5: Solve for x
    x = 244,162.03/434.14
  6. Step 6: Final answer
    x = 562.40

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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.