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Finding the Fourth Proportional to 973.60, 1,449.40 and 967.84

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Solution

The fourth proportional to 973.60, 1,449.40 and 967.84 is: 1,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.60 : 1,449.40 = 967.84 : x
  2. Step 2: Convert to fraction form
    973.60/1,449.40 = 967.84/x
  3. Step 3: Cross multiply
    973.60x = 1,449.40 × 967.84
  4. Step 4: Simplify right side
    973.60x = 1,402,787.30
  5. Step 5: Solve for x
    x = 1,402,787.30/973.60
  6. Step 6: Final answer
    x = 1,440.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.