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Finding the Fourth Proportional to 603.16, 904.67 and 409.40

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Solution

The fourth proportional to 603.16, 904.67 and 409.40 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 904.67 = 409.40 : x
  2. Step 2: Convert to fraction form
    603.16/904.67 = 409.40/x
  3. Step 3: Cross multiply
    603.16x = 904.67 × 409.40
  4. Step 4: Simplify right side
    603.16x = 370,371.90
  5. Step 5: Solve for x
    x = 370,371.90/603.16
  6. Step 6: Final answer
    x = 614.05

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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.