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Finding the Fourth Proportional to 1,008.70, 1,514.77 and 619.49

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Solution

The fourth proportional to 1,008.70, 1,514.77 and 619.49 is: 930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.70 : 1,514.77 = 619.49 : x
  2. Step 2: Convert to fraction form
    1,008.70/1,514.77 = 619.49/x
  3. Step 3: Cross multiply
    1,008.70x = 1,514.77 × 619.49
  4. Step 4: Simplify right side
    1,008.70x = 938,384.87
  5. Step 5: Solve for x
    x = 938,384.87/1,008.70
  6. Step 6: Final answer
    x = 930.29

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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.