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Finding the Fourth Proportional to 948.26, 1,423.34 and 713.19

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Solution

The fourth proportional to 948.26, 1,423.34 and 713.19 is: 1,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.26 : 1,423.34 = 713.19 : x
  2. Step 2: Convert to fraction form
    948.26/1,423.34 = 713.19/x
  3. Step 3: Cross multiply
    948.26x = 1,423.34 × 713.19
  4. Step 4: Simplify right side
    948.26x = 1,015,111.85
  5. Step 5: Solve for x
    x = 1,015,111.85/948.26
  6. Step 6: Final answer
    x = 1,070.50

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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.