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Finding the Fourth Proportional to 1,421.98, 2,133.18 and 448.07

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Solution

The fourth proportional to 1,421.98, 2,133.18 and 448.07 is: 672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.98 : 2,133.18 = 448.07 : x
  2. Step 2: Convert to fraction form
    1,421.98/2,133.18 = 448.07/x
  3. Step 3: Cross multiply
    1,421.98x = 2,133.18 × 448.07
  4. Step 4: Simplify right side
    1,421.98x = 955,803.30
  5. Step 5: Solve for x
    x = 955,803.30/1,421.98
  6. Step 6: Final answer
    x = 672.16

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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.