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Finding the Fourth Proportional to 690.61, 1,034.98 and 382

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Solution

The fourth proportional to 690.61, 1,034.98 and 382 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.61 : 1,034.98 = 382 : x
  2. Step 2: Convert to fraction form
    690.61/1,034.98 = 382/x
  3. Step 3: Cross multiply
    690.61x = 1,034.98 × 382
  4. Step 4: Simplify right side
    690.61x = 395,362.36
  5. Step 5: Solve for x
    x = 395,362.36/690.61
  6. Step 6: Final answer
    x = 572.48

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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.