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Finding the Fourth Proportional to 1,390.37, 1,919.30 and 918.49

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Solution

The fourth proportional to 1,390.37, 1,919.30 and 918.49 is: 1,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.37 : 1,919.30 = 918.49 : x
  2. Step 2: Convert to fraction form
    1,390.37/1,919.30 = 918.49/x
  3. Step 3: Cross multiply
    1,390.37x = 1,919.30 × 918.49
  4. Step 4: Simplify right side
    1,390.37x = 1,762,852.06
  5. Step 5: Solve for x
    x = 1,762,852.06/1,390.37
  6. Step 6: Final answer
    x = 1,267.91

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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.