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Finding the Fourth Proportional to 973.82, 1,460.37 and 280.25

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Solution

The fourth proportional to 973.82, 1,460.37 and 280.25 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.82 : 1,460.37 = 280.25 : x
  2. Step 2: Convert to fraction form
    973.82/1,460.37 = 280.25/x
  3. Step 3: Cross multiply
    973.82x = 1,460.37 × 280.25
  4. Step 4: Simplify right side
    973.82x = 409,270.94
  5. Step 5: Solve for x
    x = 409,270.94/973.82
  6. Step 6: Final answer
    x = 420.27

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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.