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Finding the Fourth Proportional to 493.84, 737.45 and 459.82

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Solution

The fourth proportional to 493.84, 737.45 and 459.82 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 737.45 = 459.82 : x
  2. Step 2: Convert to fraction form
    493.84/737.45 = 459.82/x
  3. Step 3: Cross multiply
    493.84x = 737.45 × 459.82
  4. Step 4: Simplify right side
    493.84x = 339,094.26
  5. Step 5: Solve for x
    x = 339,094.26/493.84
  6. Step 6: Final answer
    x = 686.65

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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.