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Finding the Fourth Proportional to 1,528.81, 2,293.37 and 474.88

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Solution

The fourth proportional to 1,528.81, 2,293.37 and 474.88 is: 712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.81 : 2,293.37 = 474.88 : x
  2. Step 2: Convert to fraction form
    1,528.81/2,293.37 = 474.88/x
  3. Step 3: Cross multiply
    1,528.81x = 2,293.37 × 474.88
  4. Step 4: Simplify right side
    1,528.81x = 1,089,064.18
  5. Step 5: Solve for x
    x = 1,089,064.18/1,528.81
  6. Step 6: Final answer
    x = 712.36

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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.