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Finding the Fourth Proportional to 1,488.24, 2,054.16 and 899.24

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Solution

The fourth proportional to 1,488.24, 2,054.16 and 899.24 is: 1,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.24 : 2,054.16 = 899.24 : x
  2. Step 2: Convert to fraction form
    1,488.24/2,054.16 = 899.24/x
  3. Step 3: Cross multiply
    1,488.24x = 2,054.16 × 899.24
  4. Step 4: Simplify right side
    1,488.24x = 1,847,172.57
  5. Step 5: Solve for x
    x = 1,847,172.57/1,488.24
  6. Step 6: Final answer
    x = 1,241.18

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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.