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Finding the Fourth Proportional to 976.04, 1,455.45 and 967.26

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Solution

The fourth proportional to 976.04, 1,455.45 and 967.26 is: 1,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.04 : 1,455.45 = 967.26 : x
  2. Step 2: Convert to fraction form
    976.04/1,455.45 = 967.26/x
  3. Step 3: Cross multiply
    976.04x = 1,455.45 × 967.26
  4. Step 4: Simplify right side
    976.04x = 1,407,798.57
  5. Step 5: Solve for x
    x = 1,407,798.57/976.04
  6. Step 6: Final answer
    x = 1,442.36

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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.