Home / 1,023.24-1,533.72-438.08

Finding the Fourth Proportional to 1,023.24, 1,533.72 and 438.08

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Solution

The fourth proportional to 1,023.24, 1,533.72 and 438.08 is: 656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,533.72 = 438.08 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,533.72 = 438.08/x
  3. Step 3: Cross multiply
    1,023.24x = 1,533.72 × 438.08
  4. Step 4: Simplify right side
    1,023.24x = 671,892.06
  5. Step 5: Solve for x
    x = 671,892.06/1,023.24
  6. Step 6: Final answer
    x = 656.63

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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.