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Finding the Fourth Proportional to 971.86, 1,455.93 and 818.74

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Solution

The fourth proportional to 971.86, 1,455.93 and 818.74 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,455.93 = 818.74 : x
  2. Step 2: Convert to fraction form
    971.86/1,455.93 = 818.74/x
  3. Step 3: Cross multiply
    971.86x = 1,455.93 × 818.74
  4. Step 4: Simplify right side
    971.86x = 1,192,028.13
  5. Step 5: Solve for x
    x = 1,192,028.13/971.86
  6. Step 6: Final answer
    x = 1,226.54

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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.