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Finding the Fourth Proportional to 551.86, 823.72 and 503.26

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Solution

The fourth proportional to 551.86, 823.72 and 503.26 is: 751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 823.72 = 503.26 : x
  2. Step 2: Convert to fraction form
    551.86/823.72 = 503.26/x
  3. Step 3: Cross multiply
    551.86x = 823.72 × 503.26
  4. Step 4: Simplify right side
    551.86x = 414,545.33
  5. Step 5: Solve for x
    x = 414,545.33/551.86
  6. Step 6: Final answer
    x = 751.18

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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.