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Finding the Fourth Proportional to 1,059.06, 1,588.70 and 434.55

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Solution

The fourth proportional to 1,059.06, 1,588.70 and 434.55 is: 651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.06 : 1,588.70 = 434.55 : x
  2. Step 2: Convert to fraction form
    1,059.06/1,588.70 = 434.55/x
  3. Step 3: Cross multiply
    1,059.06x = 1,588.70 × 434.55
  4. Step 4: Simplify right side
    1,059.06x = 690,369.59
  5. Step 5: Solve for x
    x = 690,369.59/1,059.06
  6. Step 6: Final answer
    x = 651.87

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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.