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Finding the Fourth Proportional to 1,237.60, 1,852.76 and 914.41

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Solution

The fourth proportional to 1,237.60, 1,852.76 and 914.41 is: 1,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.60 : 1,852.76 = 914.41 : x
  2. Step 2: Convert to fraction form
    1,237.60/1,852.76 = 914.41/x
  3. Step 3: Cross multiply
    1,237.60x = 1,852.76 × 914.41
  4. Step 4: Simplify right side
    1,237.60x = 1,694,177.70
  5. Step 5: Solve for x
    x = 1,694,177.70/1,237.60
  6. Step 6: Final answer
    x = 1,368.92

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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.