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Finding the Fourth Proportional to 583.50, 874.40 and 323.19

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Solution

The fourth proportional to 583.50, 874.40 and 323.19 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 874.40 = 323.19 : x
  2. Step 2: Convert to fraction form
    583.50/874.40 = 323.19/x
  3. Step 3: Cross multiply
    583.50x = 874.40 × 323.19
  4. Step 4: Simplify right side
    583.50x = 282,595.72
  5. Step 5: Solve for x
    x = 282,595.72/583.50
  6. Step 6: Final answer
    x = 484.31

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Double scale
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1.5x scale

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.