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Finding the Fourth Proportional to 973.44, 1,460.39 and 280.12

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Solution

The fourth proportional to 973.44, 1,460.39 and 280.12 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.44 : 1,460.39 = 280.12 : x
  2. Step 2: Convert to fraction form
    973.44/1,460.39 = 280.12/x
  3. Step 3: Cross multiply
    973.44x = 1,460.39 × 280.12
  4. Step 4: Simplify right side
    973.44x = 409,079.40
  5. Step 5: Solve for x
    x = 409,079.40/973.44
  6. Step 6: Final answer
    x = 420.24

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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.