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Finding the Fourth Proportional to 973.44, 1,345.44 and 820.80

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Solution

The fourth proportional to 973.44, 1,345.44 and 820.80 is: 1,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.44 : 1,345.44 = 820.80 : x
  2. Step 2: Convert to fraction form
    973.44/1,345.44 = 820.80/x
  3. Step 3: Cross multiply
    973.44x = 1,345.44 × 820.80
  4. Step 4: Simplify right side
    973.44x = 1,104,337.15
  5. Step 5: Solve for x
    x = 1,104,337.15/973.44
  6. Step 6: Final answer
    x = 1,134.47

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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.