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Finding the Fourth Proportional to 751.69, 1,037.64 and 486.21

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Solution

The fourth proportional to 751.69, 1,037.64 and 486.21 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.69 : 1,037.64 = 486.21 : x
  2. Step 2: Convert to fraction form
    751.69/1,037.64 = 486.21/x
  3. Step 3: Cross multiply
    751.69x = 1,037.64 × 486.21
  4. Step 4: Simplify right side
    751.69x = 504,510.94
  5. Step 5: Solve for x
    x = 504,510.94/751.69
  6. Step 6: Final answer
    x = 671.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.