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Finding the Fourth Proportional to 1,459.47, 2,189.54 and 897.23

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Solution

The fourth proportional to 1,459.47, 2,189.54 and 897.23 is: 1,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.47 : 2,189.54 = 897.23 : x
  2. Step 2: Convert to fraction form
    1,459.47/2,189.54 = 897.23/x
  3. Step 3: Cross multiply
    1,459.47x = 2,189.54 × 897.23
  4. Step 4: Simplify right side
    1,459.47x = 1,964,516.37
  5. Step 5: Solve for x
    x = 1,964,516.37/1,459.47
  6. Step 6: Final answer
    x = 1,346.05

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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.