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Finding the Fourth Proportional to 421.44, 578.47 and 373.77

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Solution

The fourth proportional to 421.44, 578.47 and 373.77 is: 513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 578.47 = 373.77 : x
  2. Step 2: Convert to fraction form
    421.44/578.47 = 373.77/x
  3. Step 3: Cross multiply
    421.44x = 578.47 × 373.77
  4. Step 4: Simplify right side
    421.44x = 216,212.86
  5. Step 5: Solve for x
    x = 216,212.86/421.44
  6. Step 6: Final answer
    x = 513.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.