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Finding the Fourth Proportional to 488.14, 735.13 and 428

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Solution

The fourth proportional to 488.14, 735.13 and 428 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 735.13 = 428 : x
  2. Step 2: Convert to fraction form
    488.14/735.13 = 428/x
  3. Step 3: Cross multiply
    488.14x = 735.13 × 428
  4. Step 4: Simplify right side
    488.14x = 314,635.64
  5. Step 5: Solve for x
    x = 314,635.64/488.14
  6. Step 6: Final answer
    x = 644.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.