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Finding the Fourth Proportional to 1,259, 1,889.32 and 489.50

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Solution

The fourth proportional to 1,259, 1,889.32 and 489.50 is: 734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259 : 1,889.32 = 489.50 : x
  2. Step 2: Convert to fraction form
    1,259/1,889.32 = 489.50/x
  3. Step 3: Cross multiply
    1,259x = 1,889.32 × 489.50
  4. Step 4: Simplify right side
    1,259x = 924,822.14
  5. Step 5: Solve for x
    x = 924,822.14/1,259
  6. Step 6: Final answer
    x = 734.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.