Home / 1,298.50-1,947.75-432.88

Finding the Fourth Proportional to 1,298.50, 1,947.75 and 432.88

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Solution

The fourth proportional to 1,298.50, 1,947.75 and 432.88 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.50 : 1,947.75 = 432.88 : x
  2. Step 2: Convert to fraction form
    1,298.50/1,947.75 = 432.88/x
  3. Step 3: Cross multiply
    1,298.50x = 1,947.75 × 432.88
  4. Step 4: Simplify right side
    1,298.50x = 843,142.02
  5. Step 5: Solve for x
    x = 843,142.02/1,298.50
  6. Step 6: Final answer
    x = 649.32

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Half scale
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Double scale
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1.5x scale

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.