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Finding the Fourth Proportional to 893.17, 1,232.61 and 500.18

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Solution

The fourth proportional to 893.17, 1,232.61 and 500.18 is: 690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.17 : 1,232.61 = 500.18 : x
  2. Step 2: Convert to fraction form
    893.17/1,232.61 = 500.18/x
  3. Step 3: Cross multiply
    893.17x = 1,232.61 × 500.18
  4. Step 4: Simplify right side
    893.17x = 616,532.74
  5. Step 5: Solve for x
    x = 616,532.74/893.17
  6. Step 6: Final answer
    x = 690.28

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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.