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Finding the Fourth Proportional to 522.60, 783.94 and 431.14

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Solution

The fourth proportional to 522.60, 783.94 and 431.14 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 783.94 = 431.14 : x
  2. Step 2: Convert to fraction form
    522.60/783.94 = 431.14/x
  3. Step 3: Cross multiply
    522.60x = 783.94 × 431.14
  4. Step 4: Simplify right side
    522.60x = 337,987.89
  5. Step 5: Solve for x
    x = 337,987.89/522.60
  6. Step 6: Final answer
    x = 646.74

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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.