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Finding the Fourth Proportional to 1,277.12, 1,913.99 and 814.70

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Solution

The fourth proportional to 1,277.12, 1,913.99 and 814.70 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.12 : 1,913.99 = 814.70 : x
  2. Step 2: Convert to fraction form
    1,277.12/1,913.99 = 814.70/x
  3. Step 3: Cross multiply
    1,277.12x = 1,913.99 × 814.70
  4. Step 4: Simplify right side
    1,277.12x = 1,559,314.01
  5. Step 5: Solve for x
    x = 1,559,314.01/1,277.12
  6. Step 6: Final answer
    x = 1,220.97

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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.