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Finding the Fourth Proportional to 581.50, 873.50 and 365.23

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Solution

The fourth proportional to 581.50, 873.50 and 365.23 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.50 : 873.50 = 365.23 : x
  2. Step 2: Convert to fraction form
    581.50/873.50 = 365.23/x
  3. Step 3: Cross multiply
    581.50x = 873.50 × 365.23
  4. Step 4: Simplify right side
    581.50x = 319,024.40
  5. Step 5: Solve for x
    x = 319,024.40/581.50
  6. Step 6: Final answer
    x = 548.63

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Double scale
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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.