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Finding the Fourth Proportional to 522.91, 783.15 and 291.43

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Solution

The fourth proportional to 522.91, 783.15 and 291.43 is: 436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 783.15 = 291.43 : x
  2. Step 2: Convert to fraction form
    522.91/783.15 = 291.43/x
  3. Step 3: Cross multiply
    522.91x = 783.15 × 291.43
  4. Step 4: Simplify right side
    522.91x = 228,233.40
  5. Step 5: Solve for x
    x = 228,233.40/522.91
  6. Step 6: Final answer
    x = 436.47

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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.