Home / 1,001.30-1,382.74-946.76

Finding the Fourth Proportional to 1,001.30, 1,382.74 and 946.76

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Solution

The fourth proportional to 1,001.30, 1,382.74 and 946.76 is: 1,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.30 : 1,382.74 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,001.30/1,382.74 = 946.76/x
  3. Step 3: Cross multiply
    1,001.30x = 1,382.74 × 946.76
  4. Step 4: Simplify right side
    1,001.30x = 1,309,116.01
  5. Step 5: Solve for x
    x = 1,309,116.01/1,001.30
  6. Step 6: Final answer
    x = 1,307.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.