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Finding the Fourth Proportional to 1,215.24, 1,675.80 and 993.48

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Solution

The fourth proportional to 1,215.24, 1,675.80 and 993.48 is: 1,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.24 : 1,675.80 = 993.48 : x
  2. Step 2: Convert to fraction form
    1,215.24/1,675.80 = 993.48/x
  3. Step 3: Cross multiply
    1,215.24x = 1,675.80 × 993.48
  4. Step 4: Simplify right side
    1,215.24x = 1,664,873.78
  5. Step 5: Solve for x
    x = 1,664,873.78/1,215.24
  6. Step 6: Final answer
    x = 1,370.00

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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.