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Finding the Fourth Proportional to 973.45, 1,458.55 and 684.37

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Solution

The fourth proportional to 973.45, 1,458.55 and 684.37 is: 1,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.45 : 1,458.55 = 684.37 : x
  2. Step 2: Convert to fraction form
    973.45/1,458.55 = 684.37/x
  3. Step 3: Cross multiply
    973.45x = 1,458.55 × 684.37
  4. Step 4: Simplify right side
    973.45x = 998,187.86
  5. Step 5: Solve for x
    x = 998,187.86/973.45
  6. Step 6: Final answer
    x = 1,025.41

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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.