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Finding the Fourth Proportional to 603.77, 905.59 and 410.02

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Solution

The fourth proportional to 603.77, 905.59 and 410.02 is: 614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.77 : 905.59 = 410.02 : x
  2. Step 2: Convert to fraction form
    603.77/905.59 = 410.02/x
  3. Step 3: Cross multiply
    603.77x = 905.59 × 410.02
  4. Step 4: Simplify right side
    603.77x = 371,308.26
  5. Step 5: Solve for x
    x = 371,308.26/603.77
  6. Step 6: Final answer
    x = 614.98

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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.