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Finding the Fourth Proportional to 987.13, 1,485.94 and 897.85

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Solution

The fourth proportional to 987.13, 1,485.94 and 897.85 is: 1,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.13 : 1,485.94 = 897.85 : x
  2. Step 2: Convert to fraction form
    987.13/1,485.94 = 897.85/x
  3. Step 3: Cross multiply
    987.13x = 1,485.94 × 897.85
  4. Step 4: Simplify right side
    987.13x = 1,334,151.23
  5. Step 5: Solve for x
    x = 1,334,151.23/987.13
  6. Step 6: Final answer
    x = 1,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.