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Finding the Fourth Proportional to 973.90, 1,460.82 and 243.48

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Solution

The fourth proportional to 973.90, 1,460.82 and 243.48 is: 365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,460.82 = 243.48 : x
  2. Step 2: Convert to fraction form
    973.90/1,460.82 = 243.48/x
  3. Step 3: Cross multiply
    973.90x = 1,460.82 × 243.48
  4. Step 4: Simplify right side
    973.90x = 355,680.45
  5. Step 5: Solve for x
    x = 355,680.45/973.90
  6. Step 6: Final answer
    x = 365.21

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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.