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Finding the Fourth Proportional to 973.86, 1,461.71 and 905.99

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Solution

The fourth proportional to 973.86, 1,461.71 and 905.99 is: 1,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.86 : 1,461.71 = 905.99 : x
  2. Step 2: Convert to fraction form
    973.86/1,461.71 = 905.99/x
  3. Step 3: Cross multiply
    973.86x = 1,461.71 × 905.99
  4. Step 4: Simplify right side
    973.86x = 1,324,289.60
  5. Step 5: Solve for x
    x = 1,324,289.60/973.86
  6. Step 6: Final answer
    x = 1,359.84

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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.