Home / 1,056.25-1,584.95-398.58

Finding the Fourth Proportional to 1,056.25, 1,584.95 and 398.58

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Solution

The fourth proportional to 1,056.25, 1,584.95 and 398.58 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.25 : 1,584.95 = 398.58 : x
  2. Step 2: Convert to fraction form
    1,056.25/1,584.95 = 398.58/x
  3. Step 3: Cross multiply
    1,056.25x = 1,584.95 × 398.58
  4. Step 4: Simplify right side
    1,056.25x = 631,729.37
  5. Step 5: Solve for x
    x = 631,729.37/1,056.25
  6. Step 6: Final answer
    x = 598.09

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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.