Home / 1,464.43-2,020.81-904.93

Finding the Fourth Proportional to 1,464.43, 2,020.81 and 904.93

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Solution

The fourth proportional to 1,464.43, 2,020.81 and 904.93 is: 1,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.43 : 2,020.81 = 904.93 : x
  2. Step 2: Convert to fraction form
    1,464.43/2,020.81 = 904.93/x
  3. Step 3: Cross multiply
    1,464.43x = 2,020.81 × 904.93
  4. Step 4: Simplify right side
    1,464.43x = 1,828,691.59
  5. Step 5: Solve for x
    x = 1,828,691.59/1,464.43
  6. Step 6: Final answer
    x = 1,248.74

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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.