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Finding the Fourth Proportional to 1,087.79, 1,500.10 and 790.97

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Solution

The fourth proportional to 1,087.79, 1,500.10 and 790.97 is: 1,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.79 : 1,500.10 = 790.97 : x
  2. Step 2: Convert to fraction form
    1,087.79/1,500.10 = 790.97/x
  3. Step 3: Cross multiply
    1,087.79x = 1,500.10 × 790.97
  4. Step 4: Simplify right side
    1,087.79x = 1,186,524.62
  5. Step 5: Solve for x
    x = 1,186,524.62/1,087.79
  6. Step 6: Final answer
    x = 1,090.77

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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.