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Finding the Fourth Proportional to 1,606.13, 2,216.45 and 870.13

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Solution

The fourth proportional to 1,606.13, 2,216.45 and 870.13 is: 1,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.13 : 2,216.45 = 870.13 : x
  2. Step 2: Convert to fraction form
    1,606.13/2,216.45 = 870.13/x
  3. Step 3: Cross multiply
    1,606.13x = 2,216.45 × 870.13
  4. Step 4: Simplify right side
    1,606.13x = 1,928,599.64
  5. Step 5: Solve for x
    x = 1,928,599.64/1,606.13
  6. Step 6: Final answer
    x = 1,200.77

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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.