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Finding the Fourth Proportional to 1,360.47, 2,038.58 and 812.36

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Solution

The fourth proportional to 1,360.47, 2,038.58 and 812.36 is: 1,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.47 : 2,038.58 = 812.36 : x
  2. Step 2: Convert to fraction form
    1,360.47/2,038.58 = 812.36/x
  3. Step 3: Cross multiply
    1,360.47x = 2,038.58 × 812.36
  4. Step 4: Simplify right side
    1,360.47x = 1,656,046.59
  5. Step 5: Solve for x
    x = 1,656,046.59/1,360.47
  6. Step 6: Final answer
    x = 1,217.26

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