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Finding the Fourth Proportional to 987.07, 1,480.60 and 401.93

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Solution

The fourth proportional to 987.07, 1,480.60 and 401.93 is: 602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.07 : 1,480.60 = 401.93 : x
  2. Step 2: Convert to fraction form
    987.07/1,480.60 = 401.93/x
  3. Step 3: Cross multiply
    987.07x = 1,480.60 × 401.93
  4. Step 4: Simplify right side
    987.07x = 595,099.63
  5. Step 5: Solve for x
    x = 595,099.63/987.07
  6. Step 6: Final answer
    x = 602.90

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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.