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Finding the Fourth Proportional to 690.13, 1,034.70 and 381.79

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Solution

The fourth proportional to 690.13, 1,034.70 and 381.79 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 1,034.70 = 381.79 : x
  2. Step 2: Convert to fraction form
    690.13/1,034.70 = 381.79/x
  3. Step 3: Cross multiply
    690.13x = 1,034.70 × 381.79
  4. Step 4: Simplify right side
    690.13x = 395,038.11
  5. Step 5: Solve for x
    x = 395,038.11/690.13
  6. Step 6: Final answer
    x = 572.41

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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.