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Finding the Fourth Proportional to 1,459.55, 2,013.17 and 869.63

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Solution

The fourth proportional to 1,459.55, 2,013.17 and 869.63 is: 1,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.55 : 2,013.17 = 869.63 : x
  2. Step 2: Convert to fraction form
    1,459.55/2,013.17 = 869.63/x
  3. Step 3: Cross multiply
    1,459.55x = 2,013.17 × 869.63
  4. Step 4: Simplify right side
    1,459.55x = 1,750,705.14
  5. Step 5: Solve for x
    x = 1,750,705.14/1,459.55
  6. Step 6: Final answer
    x = 1,199.49

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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.