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Finding the Fourth Proportional to 943.76, 1,415.68 and 578.32

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Solution

The fourth proportional to 943.76, 1,415.68 and 578.32 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.76 : 1,415.68 = 578.32 : x
  2. Step 2: Convert to fraction form
    943.76/1,415.68 = 578.32/x
  3. Step 3: Cross multiply
    943.76x = 1,415.68 × 578.32
  4. Step 4: Simplify right side
    943.76x = 818,716.06
  5. Step 5: Solve for x
    x = 818,716.06/943.76
  6. Step 6: Final answer
    x = 867.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.