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Finding the Fourth Proportional to 434.63, 653.47 and 344.45

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Solution

The fourth proportional to 434.63, 653.47 and 344.45 is: 517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 653.47 = 344.45 : x
  2. Step 2: Convert to fraction form
    434.63/653.47 = 344.45/x
  3. Step 3: Cross multiply
    434.63x = 653.47 × 344.45
  4. Step 4: Simplify right side
    434.63x = 225,088.51
  5. Step 5: Solve for x
    x = 225,088.51/434.63
  6. Step 6: Final answer
    x = 517.88

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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.