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Finding the Fourth Proportional to 953.86, 1,317.90 and 920.56

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Solution

The fourth proportional to 953.86, 1,317.90 and 920.56 is: 1,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,317.90 = 920.56 : x
  2. Step 2: Convert to fraction form
    953.86/1,317.90 = 920.56/x
  3. Step 3: Cross multiply
    953.86x = 1,317.90 × 920.56
  4. Step 4: Simplify right side
    953.86x = 1,213,206.02
  5. Step 5: Solve for x
    x = 1,213,206.02/953.86
  6. Step 6: Final answer
    x = 1,271.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.