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Finding the Fourth Proportional to 751.87, 1,037.89 and 646.54

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Solution

The fourth proportional to 751.87, 1,037.89 and 646.54 is: 892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.87 : 1,037.89 = 646.54 : x
  2. Step 2: Convert to fraction form
    751.87/1,037.89 = 646.54/x
  3. Step 3: Cross multiply
    751.87x = 1,037.89 × 646.54
  4. Step 4: Simplify right side
    751.87x = 671,035.61
  5. Step 5: Solve for x
    x = 671,035.61/751.87
  6. Step 6: Final answer
    x = 892.49

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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.