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Finding the Fourth Proportional to 956.70, 1,431.75 and 586.26

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Solution

The fourth proportional to 956.70, 1,431.75 and 586.26 is: 877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.70 : 1,431.75 = 586.26 : x
  2. Step 2: Convert to fraction form
    956.70/1,431.75 = 586.26/x
  3. Step 3: Cross multiply
    956.70x = 1,431.75 × 586.26
  4. Step 4: Simplify right side
    956.70x = 839,382.33
  5. Step 5: Solve for x
    x = 839,382.33/956.70
  6. Step 6: Final answer
    x = 877.37

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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.