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Finding the Fourth Proportional to 1,409.95, 1,945.62 and 780.37

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Solution

The fourth proportional to 1,409.95, 1,945.62 and 780.37 is: 1,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.95 : 1,945.62 = 780.37 : x
  2. Step 2: Convert to fraction form
    1,409.95/1,945.62 = 780.37/x
  3. Step 3: Cross multiply
    1,409.95x = 1,945.62 × 780.37
  4. Step 4: Simplify right side
    1,409.95x = 1,518,303.48
  5. Step 5: Solve for x
    x = 1,518,303.48/1,409.95
  6. Step 6: Final answer
    x = 1,076.85

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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.