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Finding the Fourth Proportional to 1,393.78, 1,923.67 and 1,058.80

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Solution

The fourth proportional to 1,393.78, 1,923.67 and 1,058.80 is: 1,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.78 : 1,923.67 = 1,058.80 : x
  2. Step 2: Convert to fraction form
    1,393.78/1,923.67 = 1,058.80/x
  3. Step 3: Cross multiply
    1,393.78x = 1,923.67 × 1,058.80
  4. Step 4: Simplify right side
    1,393.78x = 2,036,768.75
  5. Step 5: Solve for x
    x = 2,036,768.75/1,393.78
  6. Step 6: Final answer
    x = 1,461.32

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1.5x scale

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.