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Finding the Fourth Proportional to 600.16, 903.52 and 409

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Solution

The fourth proportional to 600.16, 903.52 and 409 is: 615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 903.52 = 409 : x
  2. Step 2: Convert to fraction form
    600.16/903.52 = 409/x
  3. Step 3: Cross multiply
    600.16x = 903.52 × 409
  4. Step 4: Simplify right side
    600.16x = 369,539.68
  5. Step 5: Solve for x
    x = 369,539.68/600.16
  6. Step 6: Final answer
    x = 615.74

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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.