Home / 1,298.31-1,947.40-476.52

Finding the Fourth Proportional to 1,298.31, 1,947.40 and 476.52

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Solution

The fourth proportional to 1,298.31, 1,947.40 and 476.52 is: 714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.31 : 1,947.40 = 476.52 : x
  2. Step 2: Convert to fraction form
    1,298.31/1,947.40 = 476.52/x
  3. Step 3: Cross multiply
    1,298.31x = 1,947.40 × 476.52
  4. Step 4: Simplify right side
    1,298.31x = 927,976.24
  5. Step 5: Solve for x
    x = 927,976.24/1,298.31
  6. Step 6: Final answer
    x = 714.76

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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.