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Finding the Fourth Proportional to 1,263.57, 1,894.80 and 522.66

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Solution

The fourth proportional to 1,263.57, 1,894.80 and 522.66 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.57 : 1,894.80 = 522.66 : x
  2. Step 2: Convert to fraction form
    1,263.57/1,894.80 = 522.66/x
  3. Step 3: Cross multiply
    1,263.57x = 1,894.80 × 522.66
  4. Step 4: Simplify right side
    1,263.57x = 990,336.17
  5. Step 5: Solve for x
    x = 990,336.17/1,263.57
  6. Step 6: Final answer
    x = 783.76

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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.