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Finding the Fourth Proportional to 751.34, 1,035.87 and 489.26

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Solution

The fourth proportional to 751.34, 1,035.87 and 489.26 is: 674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.34 : 1,035.87 = 489.26 : x
  2. Step 2: Convert to fraction form
    751.34/1,035.87 = 489.26/x
  3. Step 3: Cross multiply
    751.34x = 1,035.87 × 489.26
  4. Step 4: Simplify right side
    751.34x = 506,809.76
  5. Step 5: Solve for x
    x = 506,809.76/751.34
  6. Step 6: Final answer
    x = 674.54

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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.