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Finding the Fourth Proportional to 421.42, 577.55 and 415.99

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Solution

The fourth proportional to 421.42, 577.55 and 415.99 is: 570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.42 : 577.55 = 415.99 : x
  2. Step 2: Convert to fraction form
    421.42/577.55 = 415.99/x
  3. Step 3: Cross multiply
    421.42x = 577.55 × 415.99
  4. Step 4: Simplify right side
    421.42x = 240,255.02
  5. Step 5: Solve for x
    x = 240,255.02/421.42
  6. Step 6: Final answer
    x = 570.11

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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.