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Finding the Fourth Proportional to 899.40, 1,241.16 and 501.05

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Solution

The fourth proportional to 899.40, 1,241.16 and 501.05 is: 691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.40 : 1,241.16 = 501.05 : x
  2. Step 2: Convert to fraction form
    899.40/1,241.16 = 501.05/x
  3. Step 3: Cross multiply
    899.40x = 1,241.16 × 501.05
  4. Step 4: Simplify right side
    899.40x = 621,880.71
  5. Step 5: Solve for x
    x = 621,880.71/899.40
  6. Step 6: Final answer
    x = 691.44

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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.