Home / 1,298.27-1,947.34-476.48

Finding the Fourth Proportional to 1,298.27, 1,947.34 and 476.48

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Solution

The fourth proportional to 1,298.27, 1,947.34 and 476.48 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.27 : 1,947.34 = 476.48 : x
  2. Step 2: Convert to fraction form
    1,298.27/1,947.34 = 476.48/x
  3. Step 3: Cross multiply
    1,298.27x = 1,947.34 × 476.48
  4. Step 4: Simplify right side
    1,298.27x = 927,875.03
  5. Step 5: Solve for x
    x = 927,875.03/1,298.27
  6. Step 6: Final answer
    x = 714.70

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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.