Home / 1,410.16-1,946.10-780.81

Finding the Fourth Proportional to 1,410.16, 1,946.10 and 780.81

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Solution

The fourth proportional to 1,410.16, 1,946.10 and 780.81 is: 1,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.16 : 1,946.10 = 780.81 : x
  2. Step 2: Convert to fraction form
    1,410.16/1,946.10 = 780.81/x
  3. Step 3: Cross multiply
    1,410.16x = 1,946.10 × 780.81
  4. Step 4: Simplify right side
    1,410.16x = 1,519,544.20
  5. Step 5: Solve for x
    x = 1,519,544.20/1,410.16
  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.