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Finding the Fourth Proportional to 1,412.09, 2,118.32 and 522.50

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Solution

The fourth proportional to 1,412.09, 2,118.32 and 522.50 is: 783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.09 : 2,118.32 = 522.50 : x
  2. Step 2: Convert to fraction form
    1,412.09/2,118.32 = 522.50/x
  3. Step 3: Cross multiply
    1,412.09x = 2,118.32 × 522.50
  4. Step 4: Simplify right side
    1,412.09x = 1,106,818.95
  5. Step 5: Solve for x
    x = 1,106,818.95/1,412.09
  6. Step 6: Final answer
    x = 783.82

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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.