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Finding the Fourth Proportional to 1,298.64, 1,947.76 and 421.02

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Solution

The fourth proportional to 1,298.64, 1,947.76 and 421.02 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.64 : 1,947.76 = 421.02 : x
  2. Step 2: Convert to fraction form
    1,298.64/1,947.76 = 421.02/x
  3. Step 3: Cross multiply
    1,298.64x = 1,947.76 × 421.02
  4. Step 4: Simplify right side
    1,298.64x = 820,052.17
  5. Step 5: Solve for x
    x = 820,052.17/1,298.64
  6. Step 6: Final answer
    x = 631.47

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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.