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Finding the Fourth Proportional to 573.12, 863.10 and 429.84

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Solution

The fourth proportional to 573.12, 863.10 and 429.84 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 863.10 = 429.84 : x
  2. Step 2: Convert to fraction form
    573.12/863.10 = 429.84/x
  3. Step 3: Cross multiply
    573.12x = 863.10 × 429.84
  4. Step 4: Simplify right side
    573.12x = 370,994.90
  5. Step 5: Solve for x
    x = 370,994.90/573.12
  6. Step 6: Final answer
    x = 647.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.