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Finding the Fourth Proportional to 1,312.87, 1,969.18 and 400.87

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Solution

The fourth proportional to 1,312.87, 1,969.18 and 400.87 is: 601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.87 : 1,969.18 = 400.87 : x
  2. Step 2: Convert to fraction form
    1,312.87/1,969.18 = 400.87/x
  3. Step 3: Cross multiply
    1,312.87x = 1,969.18 × 400.87
  4. Step 4: Simplify right side
    1,312.87x = 789,385.19
  5. Step 5: Solve for x
    x = 789,385.19/1,312.87
  6. Step 6: Final answer
    x = 601.27

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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.