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Finding the Fourth Proportional to 741.32, 1,021.85 and 583.71

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Solution

The fourth proportional to 741.32, 1,021.85 and 583.71 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.32 : 1,021.85 = 583.71 : x
  2. Step 2: Convert to fraction form
    741.32/1,021.85 = 583.71/x
  3. Step 3: Cross multiply
    741.32x = 1,021.85 × 583.71
  4. Step 4: Simplify right side
    741.32x = 596,457.49
  5. Step 5: Solve for x
    x = 596,457.49/741.32
  6. Step 6: Final answer
    x = 804.59

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Double scale
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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.