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Finding the Fourth Proportional to 1,017.88, 1,404.64 and 552.12

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Solution

The fourth proportional to 1,017.88, 1,404.64 and 552.12 is: 761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.88 : 1,404.64 = 552.12 : x
  2. Step 2: Convert to fraction form
    1,017.88/1,404.64 = 552.12/x
  3. Step 3: Cross multiply
    1,017.88x = 1,404.64 × 552.12
  4. Step 4: Simplify right side
    1,017.88x = 775,529.84
  5. Step 5: Solve for x
    x = 775,529.84/1,017.88
  6. Step 6: Final answer
    x = 761.91

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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.