Home / 1,407.32-1,942.12-777.85

Finding the Fourth Proportional to 1,407.32, 1,942.12 and 777.85

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Solution

The fourth proportional to 1,407.32, 1,942.12 and 777.85 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.32 : 1,942.12 = 777.85 : x
  2. Step 2: Convert to fraction form
    1,407.32/1,942.12 = 777.85/x
  3. Step 3: Cross multiply
    1,407.32x = 1,942.12 × 777.85
  4. Step 4: Simplify right side
    1,407.32x = 1,510,671.24
  5. Step 5: Solve for x
    x = 1,510,671.24/1,407.32
  6. Step 6: Final answer
    x = 1,073.44

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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.