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Finding the Fourth Proportional to 675.49, 931.88 and 409.94

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Solution

The fourth proportional to 675.49, 931.88 and 409.94 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.49 : 931.88 = 409.94 : x
  2. Step 2: Convert to fraction form
    675.49/931.88 = 409.94/x
  3. Step 3: Cross multiply
    675.49x = 931.88 × 409.94
  4. Step 4: Simplify right side
    675.49x = 382,018.24
  5. Step 5: Solve for x
    x = 382,018.24/675.49
  6. Step 6: Final answer
    x = 565.54

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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.