Home / 1,298.50-1,947.96-433.02

Finding the Fourth Proportional to 1,298.50, 1,947.96 and 433.02

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Solution

The fourth proportional to 1,298.50, 1,947.96 and 433.02 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.50 : 1,947.96 = 433.02 : x
  2. Step 2: Convert to fraction form
    1,298.50/1,947.96 = 433.02/x
  3. Step 3: Cross multiply
    1,298.50x = 1,947.96 × 433.02
  4. Step 4: Simplify right side
    1,298.50x = 843,495.90
  5. Step 5: Solve for x
    x = 843,495.90/1,298.50
  6. Step 6: Final answer
    x = 649.59

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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.