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Finding the Fourth Proportional to 1,536.80, 2,300.64 and 987.32

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Solution

The fourth proportional to 1,536.80, 2,300.64 and 987.32 is: 1,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.80 : 2,300.64 = 987.32 : x
  2. Step 2: Convert to fraction form
    1,536.80/2,300.64 = 987.32/x
  3. Step 3: Cross multiply
    1,536.80x = 2,300.64 × 987.32
  4. Step 4: Simplify right side
    1,536.80x = 2,271,467.88
  5. Step 5: Solve for x
    x = 2,271,467.88/1,536.80
  6. Step 6: Final answer
    x = 1,478.05

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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.