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Finding the Fourth Proportional to 583.44, 874.08 and 420.72

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Solution

The fourth proportional to 583.44, 874.08 and 420.72 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 874.08 = 420.72 : x
  2. Step 2: Convert to fraction form
    583.44/874.08 = 420.72/x
  3. Step 3: Cross multiply
    583.44x = 874.08 × 420.72
  4. Step 4: Simplify right side
    583.44x = 367,742.94
  5. Step 5: Solve for x
    x = 367,742.94/583.44
  6. Step 6: Final answer
    x = 630.30

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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.