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Finding the Fourth Proportional to 1,243, 1,864.72 and 421.36

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Solution

The fourth proportional to 1,243, 1,864.72 and 421.36 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243 : 1,864.72 = 421.36 : x
  2. Step 2: Convert to fraction form
    1,243/1,864.72 = 421.36/x
  3. Step 3: Cross multiply
    1,243x = 1,864.72 × 421.36
  4. Step 4: Simplify right side
    1,243x = 785,718.42
  5. Step 5: Solve for x
    x = 785,718.42/1,243
  6. Step 6: Final answer
    x = 632.11

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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.