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Finding the Fourth Proportional to 1,406.80, 1,941.28 and 785.84

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Solution

The fourth proportional to 1,406.80, 1,941.28 and 785.84 is: 1,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.80 : 1,941.28 = 785.84 : x
  2. Step 2: Convert to fraction form
    1,406.80/1,941.28 = 785.84/x
  3. Step 3: Cross multiply
    1,406.80x = 1,941.28 × 785.84
  4. Step 4: Simplify right side
    1,406.80x = 1,525,535.48
  5. Step 5: Solve for x
    x = 1,525,535.48/1,406.80
  6. Step 6: Final answer
    x = 1,084.40

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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.