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Finding the Fourth Proportional to 987.06, 1,477.85 and 499.09

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Solution

The fourth proportional to 987.06, 1,477.85 and 499.09 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.06 : 1,477.85 = 499.09 : x
  2. Step 2: Convert to fraction form
    987.06/1,477.85 = 499.09/x
  3. Step 3: Cross multiply
    987.06x = 1,477.85 × 499.09
  4. Step 4: Simplify right side
    987.06x = 737,580.16
  5. Step 5: Solve for x
    x = 737,580.16/987.06
  6. Step 6: Final answer
    x = 747.25

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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.