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Finding the Fourth Proportional to 1,135.77, 1,564.68 and 803.67

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Solution

The fourth proportional to 1,135.77, 1,564.68 and 803.67 is: 1,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.77 : 1,564.68 = 803.67 : x
  2. Step 2: Convert to fraction form
    1,135.77/1,564.68 = 803.67/x
  3. Step 3: Cross multiply
    1,135.77x = 1,564.68 × 803.67
  4. Step 4: Simplify right side
    1,135.77x = 1,257,486.38
  5. Step 5: Solve for x
    x = 1,257,486.38/1,135.77
  6. Step 6: Final answer
    x = 1,107.17

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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.