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Finding the Fourth Proportional to 1,057.38, 1,455.84 and 899.70

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Solution

The fourth proportional to 1,057.38, 1,455.84 and 899.70 is: 1,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.38 : 1,455.84 = 899.70 : x
  2. Step 2: Convert to fraction form
    1,057.38/1,455.84 = 899.70/x
  3. Step 3: Cross multiply
    1,057.38x = 1,455.84 × 899.70
  4. Step 4: Simplify right side
    1,057.38x = 1,309,819.25
  5. Step 5: Solve for x
    x = 1,309,819.25/1,057.38
  6. Step 6: Final answer
    x = 1,238.74

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.