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Finding the Fourth Proportional to 1,421.76, 1,962.16 and 832.48

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Solution

The fourth proportional to 1,421.76, 1,962.16 and 832.48 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.76 : 1,962.16 = 832.48 : x
  2. Step 2: Convert to fraction form
    1,421.76/1,962.16 = 832.48/x
  3. Step 3: Cross multiply
    1,421.76x = 1,962.16 × 832.48
  4. Step 4: Simplify right side
    1,421.76x = 1,633,458.96
  5. Step 5: Solve for x
    x = 1,633,458.96/1,421.76
  6. Step 6: Final answer
    x = 1,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.