Home / 1,410.36-1,946.25-780.87

Finding the Fourth Proportional to 1,410.36, 1,946.25 and 780.87

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Solution

The fourth proportional to 1,410.36, 1,946.25 and 780.87 is: 1,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 1,946.25 = 780.87 : x
  2. Step 2: Convert to fraction form
    1,410.36/1,946.25 = 780.87/x
  3. Step 3: Cross multiply
    1,410.36x = 1,946.25 × 780.87
  4. Step 4: Simplify right side
    1,410.36x = 1,519,768.24
  5. Step 5: Solve for x
    x = 1,519,768.24/1,410.36
  6. Step 6: Final answer
    x = 1,077.57

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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.