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Finding the Fourth Proportional to 987.89, 1,482.77 and 501.29

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Solution

The fourth proportional to 987.89, 1,482.77 and 501.29 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.89 : 1,482.77 = 501.29 : x
  2. Step 2: Convert to fraction form
    987.89/1,482.77 = 501.29/x
  3. Step 3: Cross multiply
    987.89x = 1,482.77 × 501.29
  4. Step 4: Simplify right side
    987.89x = 743,295.27
  5. Step 5: Solve for x
    x = 743,295.27/987.89
  6. Step 6: Final answer
    x = 752.41

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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.