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Finding the Fourth Proportional to 1,242.80, 1,864.48 and 421.02

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Solution

The fourth proportional to 1,242.80, 1,864.48 and 421.02 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.80 : 1,864.48 = 421.02 : x
  2. Step 2: Convert to fraction form
    1,242.80/1,864.48 = 421.02/x
  3. Step 3: Cross multiply
    1,242.80x = 1,864.48 × 421.02
  4. Step 4: Simplify right side
    1,242.80x = 784,983.37
  5. Step 5: Solve for x
    x = 784,983.37/1,242.80
  6. Step 6: Final answer
    x = 631.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.