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Finding the Fourth Proportional to 486.84, 726.51 and 434.94

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Solution

The fourth proportional to 486.84, 726.51 and 434.94 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 726.51 = 434.94 : x
  2. Step 2: Convert to fraction form
    486.84/726.51 = 434.94/x
  3. Step 3: Cross multiply
    486.84x = 726.51 × 434.94
  4. Step 4: Simplify right side
    486.84x = 315,984.63
  5. Step 5: Solve for x
    x = 315,984.63/486.84
  6. Step 6: Final answer
    x = 649.06

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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.