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Finding the Fourth Proportional to 973.20, 1,455.96 and 819.48

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Solution

The fourth proportional to 973.20, 1,455.96 and 819.48 is: 1,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,455.96 = 819.48 : x
  2. Step 2: Convert to fraction form
    973.20/1,455.96 = 819.48/x
  3. Step 3: Cross multiply
    973.20x = 1,455.96 × 819.48
  4. Step 4: Simplify right side
    973.20x = 1,193,130.10
  5. Step 5: Solve for x
    x = 1,193,130.10/973.20
  6. Step 6: Final answer
    x = 1,225.99

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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.