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Finding the Fourth Proportional to 1,513.78, 2,270.74 and 784.78

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Solution

The fourth proportional to 1,513.78, 2,270.74 and 784.78 is: 1,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.78 : 2,270.74 = 784.78 : x
  2. Step 2: Convert to fraction form
    1,513.78/2,270.74 = 784.78/x
  3. Step 3: Cross multiply
    1,513.78x = 2,270.74 × 784.78
  4. Step 4: Simplify right side
    1,513.78x = 1,782,031.34
  5. Step 5: Solve for x
    x = 1,782,031.34/1,513.78
  6. Step 6: Final answer
    x = 1,177.21

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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.