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Finding the Fourth Proportional to 1,570.11, 2,166.77 and 898.05

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Solution

The fourth proportional to 1,570.11, 2,166.77 and 898.05 is: 1,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.11 : 2,166.77 = 898.05 : x
  2. Step 2: Convert to fraction form
    1,570.11/2,166.77 = 898.05/x
  3. Step 3: Cross multiply
    1,570.11x = 2,166.77 × 898.05
  4. Step 4: Simplify right side
    1,570.11x = 1,945,863.31
  5. Step 5: Solve for x
    x = 1,945,863.31/1,570.11
  6. Step 6: Final answer
    x = 1,239.32

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Half 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.