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Finding the Fourth Proportional to 1,015.95, 1,402.04 and 573.90

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Solution

The fourth proportional to 1,015.95, 1,402.04 and 573.90 is: 792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.95 : 1,402.04 = 573.90 : x
  2. Step 2: Convert to fraction form
    1,015.95/1,402.04 = 573.90/x
  3. Step 3: Cross multiply
    1,015.95x = 1,402.04 × 573.90
  4. Step 4: Simplify right side
    1,015.95x = 804,625.18
  5. Step 5: Solve for x
    x = 804,625.18/1,015.95
  6. Step 6: Final answer
    x = 792.00

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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.