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Finding the Fourth Proportional to 668.17, 921.12 and 589.87

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Solution

The fourth proportional to 668.17, 921.12 and 589.87 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.17 : 921.12 = 589.87 : x
  2. Step 2: Convert to fraction form
    668.17/921.12 = 589.87/x
  3. Step 3: Cross multiply
    668.17x = 921.12 × 589.87
  4. Step 4: Simplify right side
    668.17x = 543,336.45
  5. Step 5: Solve for x
    x = 543,336.45/668.17
  6. Step 6: Final answer
    x = 813.18

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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.