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Finding the Fourth Proportional to 835.77, 1,152.55 and 551.68

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Solution

The fourth proportional to 835.77, 1,152.55 and 551.68 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,152.55 = 551.68 : x
  2. Step 2: Convert to fraction form
    835.77/1,152.55 = 551.68/x
  3. Step 3: Cross multiply
    835.77x = 1,152.55 × 551.68
  4. Step 4: Simplify right side
    835.77x = 635,838.78
  5. Step 5: Solve for x
    x = 635,838.78/835.77
  6. Step 6: Final answer
    x = 760.78

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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.