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Finding the Fourth Proportional to 902.58, 1,244.90 and 587.50

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Solution

The fourth proportional to 902.58, 1,244.90 and 587.50 is: 810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,244.90 = 587.50 : x
  2. Step 2: Convert to fraction form
    902.58/1,244.90 = 587.50/x
  3. Step 3: Cross multiply
    902.58x = 1,244.90 × 587.50
  4. Step 4: Simplify right side
    902.58x = 731,378.75
  5. Step 5: Solve for x
    x = 731,378.75/902.58
  6. Step 6: Final answer
    x = 810.32

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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.