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Finding the Fourth Proportional to 551.26, 760.86 and 364.77

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Solution

The fourth proportional to 551.26, 760.86 and 364.77 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 760.86 = 364.77 : x
  2. Step 2: Convert to fraction form
    551.26/760.86 = 364.77/x
  3. Step 3: Cross multiply
    551.26x = 760.86 × 364.77
  4. Step 4: Simplify right side
    551.26x = 277,538.90
  5. Step 5: Solve for x
    x = 277,538.90/551.26
  6. Step 6: Final answer
    x = 503.46

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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.