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Finding the Fourth Proportional to 583.76, 874.20 and 446.60

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Solution

The fourth proportional to 583.76, 874.20 and 446.60 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 874.20 = 446.60 : x
  2. Step 2: Convert to fraction form
    583.76/874.20 = 446.60/x
  3. Step 3: Cross multiply
    583.76x = 874.20 × 446.60
  4. Step 4: Simplify right side
    583.76x = 390,417.72
  5. Step 5: Solve for x
    x = 390,417.72/583.76
  6. Step 6: Final answer
    x = 668.80

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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.