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Finding the Fourth Proportional to 675.84, 932.64 and 381.24

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Solution

The fourth proportional to 675.84, 932.64 and 381.24 is: 526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 932.64 = 381.24 : x
  2. Step 2: Convert to fraction form
    675.84/932.64 = 381.24/x
  3. Step 3: Cross multiply
    675.84x = 932.64 × 381.24
  4. Step 4: Simplify right side
    675.84x = 355,559.67
  5. Step 5: Solve for x
    x = 355,559.67/675.84
  6. Step 6: Final answer
    x = 526.10

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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.