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Finding the Fourth Proportional to 952.86, 1,423.77 and 729.26

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Solution

The fourth proportional to 952.86, 1,423.77 and 729.26 is: 1,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.86 : 1,423.77 = 729.26 : x
  2. Step 2: Convert to fraction form
    952.86/1,423.77 = 729.26/x
  3. Step 3: Cross multiply
    952.86x = 1,423.77 × 729.26
  4. Step 4: Simplify right side
    952.86x = 1,038,298.51
  5. Step 5: Solve for x
    x = 1,038,298.51/952.86
  6. Step 6: Final answer
    x = 1,089.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.