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Finding the Fourth Proportional to 1,059.06, 1,588.57 and 434.23

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Solution

The fourth proportional to 1,059.06, 1,588.57 and 434.23 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.06 : 1,588.57 = 434.23 : x
  2. Step 2: Convert to fraction form
    1,059.06/1,588.57 = 434.23/x
  3. Step 3: Cross multiply
    1,059.06x = 1,588.57 × 434.23
  4. Step 4: Simplify right side
    1,059.06x = 689,804.75
  5. Step 5: Solve for x
    x = 689,804.75/1,059.06
  6. Step 6: Final answer
    x = 651.34

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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.