Home / 1,464.80-2,021.64-942.35

Finding the Fourth Proportional to 1,464.80, 2,021.64 and 942.35

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Solution

The fourth proportional to 1,464.80, 2,021.64 and 942.35 is: 1,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.80 : 2,021.64 = 942.35 : x
  2. Step 2: Convert to fraction form
    1,464.80/2,021.64 = 942.35/x
  3. Step 3: Cross multiply
    1,464.80x = 2,021.64 × 942.35
  4. Step 4: Simplify right side
    1,464.80x = 1,905,092.45
  5. Step 5: Solve for x
    x = 1,905,092.45/1,464.80
  6. Step 6: Final answer
    x = 1,300.58

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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.