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Finding the Fourth Proportional to 1,087.62, 1,500.30 and 693.96

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Solution

The fourth proportional to 1,087.62, 1,500.30 and 693.96 is: 957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.62 : 1,500.30 = 693.96 : x
  2. Step 2: Convert to fraction form
    1,087.62/1,500.30 = 693.96/x
  3. Step 3: Cross multiply
    1,087.62x = 1,500.30 × 693.96
  4. Step 4: Simplify right side
    1,087.62x = 1,041,148.19
  5. Step 5: Solve for x
    x = 1,041,148.19/1,087.62
  6. Step 6: Final answer
    x = 957.27

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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.