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Finding the Fourth Proportional to 522.86, 783.26 and 419.66

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Solution

The fourth proportional to 522.86, 783.26 and 419.66 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 783.26 = 419.66 : x
  2. Step 2: Convert to fraction form
    522.86/783.26 = 419.66/x
  3. Step 3: Cross multiply
    522.86x = 783.26 × 419.66
  4. Step 4: Simplify right side
    522.86x = 328,702.89
  5. Step 5: Solve for x
    x = 328,702.89/522.86
  6. Step 6: Final answer
    x = 628.66

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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.