Home / 1,023.16-1,533.30-589.42

Finding the Fourth Proportional to 1,023.16, 1,533.30 and 589.42

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Solution

The fourth proportional to 1,023.16, 1,533.30 and 589.42 is: 883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,533.30 = 589.42 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,533.30 = 589.42/x
  3. Step 3: Cross multiply
    1,023.16x = 1,533.30 × 589.42
  4. Step 4: Simplify right side
    1,023.16x = 903,757.69
  5. Step 5: Solve for x
    x = 903,757.69/1,023.16
  6. Step 6: Final answer
    x = 883.30

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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.