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Finding the Fourth Proportional to 1,401.68, 1,934.36 and 780.68

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Solution

The fourth proportional to 1,401.68, 1,934.36 and 780.68 is: 1,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.68 : 1,934.36 = 780.68 : x
  2. Step 2: Convert to fraction form
    1,401.68/1,934.36 = 780.68/x
  3. Step 3: Cross multiply
    1,401.68x = 1,934.36 × 780.68
  4. Step 4: Simplify right side
    1,401.68x = 1,510,116.16
  5. Step 5: Solve for x
    x = 1,510,116.16/1,401.68
  6. Step 6: Final answer
    x = 1,077.36

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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.