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Finding the Fourth Proportional to 1,015.17, 1,400.40 and 641.51

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Solution

The fourth proportional to 1,015.17, 1,400.40 and 641.51 is: 884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.17 : 1,400.40 = 641.51 : x
  2. Step 2: Convert to fraction form
    1,015.17/1,400.40 = 641.51/x
  3. Step 3: Cross multiply
    1,015.17x = 1,400.40 × 641.51
  4. Step 4: Simplify right side
    1,015.17x = 898,363.60
  5. Step 5: Solve for x
    x = 898,363.60/1,015.17
  6. Step 6: Final answer
    x = 884.94

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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.