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Finding the Fourth Proportional to 1,354.55, 2,030.60 and 488.25

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Solution

The fourth proportional to 1,354.55, 2,030.60 and 488.25 is: 731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.55 : 2,030.60 = 488.25 : x
  2. Step 2: Convert to fraction form
    1,354.55/2,030.60 = 488.25/x
  3. Step 3: Cross multiply
    1,354.55x = 2,030.60 × 488.25
  4. Step 4: Simplify right side
    1,354.55x = 991,441.67
  5. Step 5: Solve for x
    x = 991,441.67/1,354.55
  6. Step 6: Final answer
    x = 731.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.