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Finding the Fourth Proportional to 987.21, 1,362.16 and 594.26

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Solution

The fourth proportional to 987.21, 1,362.16 and 594.26 is: 819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.21 : 1,362.16 = 594.26 : x
  2. Step 2: Convert to fraction form
    987.21/1,362.16 = 594.26/x
  3. Step 3: Cross multiply
    987.21x = 1,362.16 × 594.26
  4. Step 4: Simplify right side
    987.21x = 809,477.20
  5. Step 5: Solve for x
    x = 809,477.20/987.21
  6. Step 6: Final answer
    x = 819.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.