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Finding the Fourth Proportional to 493.16, 736.38 and 434.91

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Solution

The fourth proportional to 493.16, 736.38 and 434.91 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.16 : 736.38 = 434.91 : x
  2. Step 2: Convert to fraction form
    493.16/736.38 = 434.91/x
  3. Step 3: Cross multiply
    493.16x = 736.38 × 434.91
  4. Step 4: Simplify right side
    493.16x = 320,259.03
  5. Step 5: Solve for x
    x = 320,259.03/493.16
  6. Step 6: Final answer
    x = 649.41

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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.