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Finding the Fourth Proportional to 486.95, 730.52 and 410.63

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Solution

The fourth proportional to 486.95, 730.52 and 410.63 is: 616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 730.52 = 410.63 : x
  2. Step 2: Convert to fraction form
    486.95/730.52 = 410.63/x
  3. Step 3: Cross multiply
    486.95x = 730.52 × 410.63
  4. Step 4: Simplify right side
    486.95x = 299,973.43
  5. Step 5: Solve for x
    x = 299,973.43/486.95
  6. Step 6: Final answer
    x = 616.03

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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.