Home / 1,056.06-1,583.97-286.50

Finding the Fourth Proportional to 1,056.06, 1,583.97 and 286.50

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Solution

The fourth proportional to 1,056.06, 1,583.97 and 286.50 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,583.97 = 286.50 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,583.97 = 286.50/x
  3. Step 3: Cross multiply
    1,056.06x = 1,583.97 × 286.50
  4. Step 4: Simplify right side
    1,056.06x = 453,807.41
  5. Step 5: Solve for x
    x = 453,807.41/1,056.06
  6. Step 6: Final answer
    x = 429.72

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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.