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Finding the Fourth Proportional to 1,528.24, 2,108.80 and 899

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Solution

The fourth proportional to 1,528.24, 2,108.80 and 899 is: 1,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.24 : 2,108.80 = 899 : x
  2. Step 2: Convert to fraction form
    1,528.24/2,108.80 = 899/x
  3. Step 3: Cross multiply
    1,528.24x = 2,108.80 × 899
  4. Step 4: Simplify right side
    1,528.24x = 1,895,811.20
  5. Step 5: Solve for x
    x = 1,895,811.20/1,528.24
  6. Step 6: Final answer
    x = 1,240.52

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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.