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Finding the Fourth Proportional to 498.84, 744 and 472.92

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Solution

The fourth proportional to 498.84, 744 and 472.92 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 744 = 472.92 : x
  2. Step 2: Convert to fraction form
    498.84/744 = 472.92/x
  3. Step 3: Cross multiply
    498.84x = 744 × 472.92
  4. Step 4: Simplify right side
    498.84x = 351,852.48
  5. Step 5: Solve for x
    x = 351,852.48/498.84
  6. Step 6: Final answer
    x = 705.34

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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.