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Finding the Fourth Proportional to 1,133.05, 1,564.91 and 903.01

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Solution

The fourth proportional to 1,133.05, 1,564.91 and 903.01 is: 1,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.05 : 1,564.91 = 903.01 : x
  2. Step 2: Convert to fraction form
    1,133.05/1,564.91 = 903.01/x
  3. Step 3: Cross multiply
    1,133.05x = 1,564.91 × 903.01
  4. Step 4: Simplify right side
    1,133.05x = 1,413,129.38
  5. Step 5: Solve for x
    x = 1,413,129.38/1,133.05
  6. Step 6: Final answer
    x = 1,247.19

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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.