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Finding the Fourth Proportional to 603.29, 904.66 and 420.77

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Solution

The fourth proportional to 603.29, 904.66 and 420.77 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.29 : 904.66 = 420.77 : x
  2. Step 2: Convert to fraction form
    603.29/904.66 = 420.77/x
  3. Step 3: Cross multiply
    603.29x = 904.66 × 420.77
  4. Step 4: Simplify right side
    603.29x = 380,648.21
  5. Step 5: Solve for x
    x = 380,648.21/603.29
  6. Step 6: Final answer
    x = 630.96

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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.