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Finding the Fourth Proportional to 1,267.47, 1,899.54 and 780.84

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Solution

The fourth proportional to 1,267.47, 1,899.54 and 780.84 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.47 : 1,899.54 = 780.84 : x
  2. Step 2: Convert to fraction form
    1,267.47/1,899.54 = 780.84/x
  3. Step 3: Cross multiply
    1,267.47x = 1,899.54 × 780.84
  4. Step 4: Simplify right side
    1,267.47x = 1,483,236.81
  5. Step 5: Solve for x
    x = 1,483,236.81/1,267.47
  6. Step 6: Final answer
    x = 1,170.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.