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Finding the Fourth Proportional to 1,459.52, 2,013.99 and 899.90

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Solution

The fourth proportional to 1,459.52, 2,013.99 and 899.90 is: 1,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.52 : 2,013.99 = 899.90 : x
  2. Step 2: Convert to fraction form
    1,459.52/2,013.99 = 899.90/x
  3. Step 3: Cross multiply
    1,459.52x = 2,013.99 × 899.90
  4. Step 4: Simplify right side
    1,459.52x = 1,812,389.60
  5. Step 5: Solve for x
    x = 1,812,389.60/1,459.52
  6. Step 6: Final answer
    x = 1,241.77

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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.