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Finding the Fourth Proportional to 1,138.51, 1,707.02 and 553.49

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Solution

The fourth proportional to 1,138.51, 1,707.02 and 553.49 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.51 : 1,707.02 = 553.49 : x
  2. Step 2: Convert to fraction form
    1,138.51/1,707.02 = 553.49/x
  3. Step 3: Cross multiply
    1,138.51x = 1,707.02 × 553.49
  4. Step 4: Simplify right side
    1,138.51x = 944,818.50
  5. Step 5: Solve for x
    x = 944,818.50/1,138.51
  6. Step 6: Final answer
    x = 829.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.