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Finding the Fourth Proportional to 1,087.81, 1,501.65 and 689.83

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Solution

The fourth proportional to 1,087.81, 1,501.65 and 689.83 is: 952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.81 : 1,501.65 = 689.83 : x
  2. Step 2: Convert to fraction form
    1,087.81/1,501.65 = 689.83/x
  3. Step 3: Cross multiply
    1,087.81x = 1,501.65 × 689.83
  4. Step 4: Simplify right side
    1,087.81x = 1,035,883.22
  5. Step 5: Solve for x
    x = 1,035,883.22/1,087.81
  6. Step 6: Final answer
    x = 952.26

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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.