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Finding the Fourth Proportional to 976.12, 1,346.76 and 583.07

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Solution

The fourth proportional to 976.12, 1,346.76 and 583.07 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,346.76 = 583.07 : x
  2. Step 2: Convert to fraction form
    976.12/1,346.76 = 583.07/x
  3. Step 3: Cross multiply
    976.12x = 1,346.76 × 583.07
  4. Step 4: Simplify right side
    976.12x = 785,248.62
  5. Step 5: Solve for x
    x = 785,248.62/976.12
  6. Step 6: Final answer
    x = 804.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.