Home / 1,030.71-1,546.10-300.23

Finding the Fourth Proportional to 1,030.71, 1,546.10 and 300.23

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Solution

The fourth proportional to 1,030.71, 1,546.10 and 300.23 is: 450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.71 : 1,546.10 = 300.23 : x
  2. Step 2: Convert to fraction form
    1,030.71/1,546.10 = 300.23/x
  3. Step 3: Cross multiply
    1,030.71x = 1,546.10 × 300.23
  4. Step 4: Simplify right side
    1,030.71x = 464,185.60
  5. Step 5: Solve for x
    x = 464,185.60/1,030.71
  6. Step 6: Final answer
    x = 450.36

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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.