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Finding the Fourth Proportional to 603.57, 905.87 and 430.66

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Solution

The fourth proportional to 603.57, 905.87 and 430.66 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.57 : 905.87 = 430.66 : x
  2. Step 2: Convert to fraction form
    603.57/905.87 = 430.66/x
  3. Step 3: Cross multiply
    603.57x = 905.87 × 430.66
  4. Step 4: Simplify right side
    603.57x = 390,124.18
  5. Step 5: Solve for x
    x = 390,124.18/603.57
  6. Step 6: Final answer
    x = 646.36

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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.