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Finding the Fourth Proportional to 603.67, 904.14 and 421.20

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Solution

The fourth proportional to 603.67, 904.14 and 421.20 is: 630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.67 : 904.14 = 421.20 : x
  2. Step 2: Convert to fraction form
    603.67/904.14 = 421.20/x
  3. Step 3: Cross multiply
    603.67x = 904.14 × 421.20
  4. Step 4: Simplify right side
    603.67x = 380,823.77
  5. Step 5: Solve for x
    x = 380,823.77/603.67
  6. Step 6: Final answer
    x = 630.85

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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.