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Finding the Fourth Proportional to 1,053.72, 1,460.91 and 995.40

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Solution

The fourth proportional to 1,053.72, 1,460.91 and 995.40 is: 1,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.72 : 1,460.91 = 995.40 : x
  2. Step 2: Convert to fraction form
    1,053.72/1,460.91 = 995.40/x
  3. Step 3: Cross multiply
    1,053.72x = 1,460.91 × 995.40
  4. Step 4: Simplify right side
    1,053.72x = 1,454,189.81
  5. Step 5: Solve for x
    x = 1,454,189.81/1,053.72
  6. Step 6: Final answer
    x = 1,380.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.