Home / 1,521.79-2,280.93-828.78

Finding the Fourth Proportional to 1,521.79, 2,280.93 and 828.78

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Solution

The fourth proportional to 1,521.79, 2,280.93 and 828.78 is: 1,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.79 : 2,280.93 = 828.78 : x
  2. Step 2: Convert to fraction form
    1,521.79/2,280.93 = 828.78/x
  3. Step 3: Cross multiply
    1,521.79x = 2,280.93 × 828.78
  4. Step 4: Simplify right side
    1,521.79x = 1,890,397.33
  5. Step 5: Solve for x
    x = 1,890,397.33/1,521.79
  6. Step 6: Final answer
    x = 1,242.22

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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.