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Finding the Fourth Proportional to 751.59, 1,037.93 and 489.75

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Solution

The fourth proportional to 751.59, 1,037.93 and 489.75 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.59 : 1,037.93 = 489.75 : x
  2. Step 2: Convert to fraction form
    751.59/1,037.93 = 489.75/x
  3. Step 3: Cross multiply
    751.59x = 1,037.93 × 489.75
  4. Step 4: Simplify right side
    751.59x = 508,323.77
  5. Step 5: Solve for x
    x = 508,323.77/751.59
  6. Step 6: Final answer
    x = 676.33

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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.