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Finding the Fourth Proportional to 1,015.90, 1,402.04 and 617.52

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Solution

The fourth proportional to 1,015.90, 1,402.04 and 617.52 is: 852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.90 : 1,402.04 = 617.52 : x
  2. Step 2: Convert to fraction form
    1,015.90/1,402.04 = 617.52/x
  3. Step 3: Cross multiply
    1,015.90x = 1,402.04 × 617.52
  4. Step 4: Simplify right side
    1,015.90x = 865,787.74
  5. Step 5: Solve for x
    x = 865,787.74/1,015.90
  6. Step 6: Final answer
    x = 852.24

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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.