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Finding the Fourth Proportional to 1,317.40, 1,816.58 and 981.40

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Solution

The fourth proportional to 1,317.40, 1,816.58 and 981.40 is: 1,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.40 : 1,816.58 = 981.40 : x
  2. Step 2: Convert to fraction form
    1,317.40/1,816.58 = 981.40/x
  3. Step 3: Cross multiply
    1,317.40x = 1,816.58 × 981.40
  4. Step 4: Simplify right side
    1,317.40x = 1,782,791.61
  5. Step 5: Solve for x
    x = 1,782,791.61/1,317.40
  6. Step 6: Final answer
    x = 1,353.27

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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.