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Finding the Fourth Proportional to 1,204.58, 1,661.70 and 1,038.50

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Solution

The fourth proportional to 1,204.58, 1,661.70 and 1,038.50 is: 1,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.58 : 1,661.70 = 1,038.50 : x
  2. Step 2: Convert to fraction form
    1,204.58/1,661.70 = 1,038.50/x
  3. Step 3: Cross multiply
    1,204.58x = 1,661.70 × 1,038.50
  4. Step 4: Simplify right side
    1,204.58x = 1,725,680.77
  5. Step 5: Solve for x
    x = 1,725,680.77/1,204.58
  6. Step 6: Final answer
    x = 1,432.60

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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.