Home / 1,059.18-1,588.83-442.77

Finding the Fourth Proportional to 1,059.18, 1,588.83 and 442.77

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Solution

The fourth proportional to 1,059.18, 1,588.83 and 442.77 is: 664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.18 : 1,588.83 = 442.77 : x
  2. Step 2: Convert to fraction form
    1,059.18/1,588.83 = 442.77/x
  3. Step 3: Cross multiply
    1,059.18x = 1,588.83 × 442.77
  4. Step 4: Simplify right side
    1,059.18x = 703,486.26
  5. Step 5: Solve for x
    x = 703,486.26/1,059.18
  6. Step 6: Final answer
    x = 664.18

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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.