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Finding the Fourth Proportional to 587.01, 877.93 and 522.47

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Solution

The fourth proportional to 587.01, 877.93 and 522.47 is: 781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.01 : 877.93 = 522.47 : x
  2. Step 2: Convert to fraction form
    587.01/877.93 = 522.47/x
  3. Step 3: Cross multiply
    587.01x = 877.93 × 522.47
  4. Step 4: Simplify right side
    587.01x = 458,685.09
  5. Step 5: Solve for x
    x = 458,685.09/587.01
  6. Step 6: Final answer
    x = 781.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.