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Finding the Fourth Proportional to 583.21, 873.84 and 429.19

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Solution

The fourth proportional to 583.21, 873.84 and 429.19 is: 643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.21 : 873.84 = 429.19 : x
  2. Step 2: Convert to fraction form
    583.21/873.84 = 429.19/x
  3. Step 3: Cross multiply
    583.21x = 873.84 × 429.19
  4. Step 4: Simplify right side
    583.21x = 375,043.39
  5. Step 5: Solve for x
    x = 375,043.39/583.21
  6. Step 6: Final answer
    x = 643.07

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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.