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Finding the Fourth Proportional to 1,017.88, 1,404.68 and 552.13

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Solution

The fourth proportional to 1,017.88, 1,404.68 and 552.13 is: 761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.88 : 1,404.68 = 552.13 : x
  2. Step 2: Convert to fraction form
    1,017.88/1,404.68 = 552.13/x
  3. Step 3: Cross multiply
    1,017.88x = 1,404.68 × 552.13
  4. Step 4: Simplify right side
    1,017.88x = 775,556.18
  5. Step 5: Solve for x
    x = 775,556.18/1,017.88
  6. Step 6: Final answer
    x = 761.94

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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.