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Finding the Fourth Proportional to 973.20, 1,458.18 and 684.03

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Solution

The fourth proportional to 973.20, 1,458.18 and 684.03 is: 1,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,458.18 = 684.03 : x
  2. Step 2: Convert to fraction form
    973.20/1,458.18 = 684.03/x
  3. Step 3: Cross multiply
    973.20x = 1,458.18 × 684.03
  4. Step 4: Simplify right side
    973.20x = 997,438.87
  5. Step 5: Solve for x
    x = 997,438.87/973.20
  6. Step 6: Final answer
    x = 1,024.91

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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.