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Finding the Fourth Proportional to 437.12, 652.55 and 421.93

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Solution

The fourth proportional to 437.12, 652.55 and 421.93 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.12 : 652.55 = 421.93 : x
  2. Step 2: Convert to fraction form
    437.12/652.55 = 421.93/x
  3. Step 3: Cross multiply
    437.12x = 652.55 × 421.93
  4. Step 4: Simplify right side
    437.12x = 275,330.42
  5. Step 5: Solve for x
    x = 275,330.42/437.12
  6. Step 6: Final answer
    x = 629.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.