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Finding the Fourth Proportional to 1,252.50, 1,878.72 and 522.06

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Solution

The fourth proportional to 1,252.50, 1,878.72 and 522.06 is: 783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.50 : 1,878.72 = 522.06 : x
  2. Step 2: Convert to fraction form
    1,252.50/1,878.72 = 522.06/x
  3. Step 3: Cross multiply
    1,252.50x = 1,878.72 × 522.06
  4. Step 4: Simplify right side
    1,252.50x = 980,804.56
  5. Step 5: Solve for x
    x = 980,804.56/1,252.50
  6. Step 6: Final answer
    x = 783.08

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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.