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Finding the Fourth Proportional to 741.18, 1,021.74 and 583.51

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Solution

The fourth proportional to 741.18, 1,021.74 and 583.51 is: 804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.18 : 1,021.74 = 583.51 : x
  2. Step 2: Convert to fraction form
    741.18/1,021.74 = 583.51/x
  3. Step 3: Cross multiply
    741.18x = 1,021.74 × 583.51
  4. Step 4: Simplify right side
    741.18x = 596,195.51
  5. Step 5: Solve for x
    x = 596,195.51/741.18
  6. Step 6: Final answer
    x = 804.39

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Double scale
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1.5x scale

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.