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Finding the Fourth Proportional to 587.25, 877.34 and 519.51

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Solution

The fourth proportional to 587.25, 877.34 and 519.51 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 877.34 = 519.51 : x
  2. Step 2: Convert to fraction form
    587.25/877.34 = 519.51/x
  3. Step 3: Cross multiply
    587.25x = 877.34 × 519.51
  4. Step 4: Simplify right side
    587.25x = 455,784.31
  5. Step 5: Solve for x
    x = 455,784.31/587.25
  6. Step 6: Final answer
    x = 776.14

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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.