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Finding the Fourth Proportional to 973.46, 1,465.47 and 873

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Solution

The fourth proportional to 973.46, 1,465.47 and 873 is: 1,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.46 : 1,465.47 = 873 : x
  2. Step 2: Convert to fraction form
    973.46/1,465.47 = 873/x
  3. Step 3: Cross multiply
    973.46x = 1,465.47 × 873
  4. Step 4: Simplify right side
    973.46x = 1,279,355.31
  5. Step 5: Solve for x
    x = 1,279,355.31/973.46
  6. Step 6: Final answer
    x = 1,314.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.