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Finding the Fourth Proportional to 625.36, 863.40 and 509.20

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Solution

The fourth proportional to 625.36, 863.40 and 509.20 is: 703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.36 : 863.40 = 509.20 : x
  2. Step 2: Convert to fraction form
    625.36/863.40 = 509.20/x
  3. Step 3: Cross multiply
    625.36x = 863.40 × 509.20
  4. Step 4: Simplify right side
    625.36x = 439,643.28
  5. Step 5: Solve for x
    x = 439,643.28/625.36
  6. Step 6: Final answer
    x = 703.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.