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Finding the Fourth Proportional to 690.16, 1,034.68 and 343.28

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Solution

The fourth proportional to 690.16, 1,034.68 and 343.28 is: 514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 1,034.68 = 343.28 : x
  2. Step 2: Convert to fraction form
    690.16/1,034.68 = 343.28/x
  3. Step 3: Cross multiply
    690.16x = 1,034.68 × 343.28
  4. Step 4: Simplify right side
    690.16x = 355,184.95
  5. Step 5: Solve for x
    x = 355,184.95/690.16
  6. Step 6: Final answer
    x = 514.64

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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.