Home / 1,459.12-2,013.24-869.59

Finding the Fourth Proportional to 1,459.12, 2,013.24 and 869.59

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Solution

The fourth proportional to 1,459.12, 2,013.24 and 869.59 is: 1,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.12 : 2,013.24 = 869.59 : x
  2. Step 2: Convert to fraction form
    1,459.12/2,013.24 = 869.59/x
  3. Step 3: Cross multiply
    1,459.12x = 2,013.24 × 869.59
  4. Step 4: Simplify right side
    1,459.12x = 1,750,693.37
  5. Step 5: Solve for x
    x = 1,750,693.37/1,459.12
  6. Step 6: Final answer
    x = 1,199.83

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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.