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Finding the Fourth Proportional to 1,412.50, 2,118.72 and 632.32

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Solution

The fourth proportional to 1,412.50, 2,118.72 and 632.32 is: 948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.50 : 2,118.72 = 632.32 : x
  2. Step 2: Convert to fraction form
    1,412.50/2,118.72 = 632.32/x
  3. Step 3: Cross multiply
    1,412.50x = 2,118.72 × 632.32
  4. Step 4: Simplify right side
    1,412.50x = 1,339,709.03
  5. Step 5: Solve for x
    x = 1,339,709.03/1,412.50
  6. Step 6: Final answer
    x = 948.47

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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.