Home / 1,023.33-1,533.80-474.36

Finding the Fourth Proportional to 1,023.33, 1,533.80 and 474.36

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Solution

The fourth proportional to 1,023.33, 1,533.80 and 474.36 is: 710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.33 : 1,533.80 = 474.36 : x
  2. Step 2: Convert to fraction form
    1,023.33/1,533.80 = 474.36/x
  3. Step 3: Cross multiply
    1,023.33x = 1,533.80 × 474.36
  4. Step 4: Simplify right side
    1,023.33x = 727,573.27
  5. Step 5: Solve for x
    x = 727,573.27/1,023.33
  6. Step 6: Final answer
    x = 710.98

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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.