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Finding the Fourth Proportional to 551.86, 761.53 and 420.64

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Solution

The fourth proportional to 551.86, 761.53 and 420.64 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 761.53 = 420.64 : x
  2. Step 2: Convert to fraction form
    551.86/761.53 = 420.64/x
  3. Step 3: Cross multiply
    551.86x = 761.53 × 420.64
  4. Step 4: Simplify right side
    551.86x = 320,329.98
  5. Step 5: Solve for x
    x = 320,329.98/551.86
  6. Step 6: Final answer
    x = 580.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.