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Finding the Fourth Proportional to 690.12, 1,034.51 and 459.05

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Solution

The fourth proportional to 690.12, 1,034.51 and 459.05 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 1,034.51 = 459.05 : x
  2. Step 2: Convert to fraction form
    690.12/1,034.51 = 459.05/x
  3. Step 3: Cross multiply
    690.12x = 1,034.51 × 459.05
  4. Step 4: Simplify right side
    690.12x = 474,884.35
  5. Step 5: Solve for x
    x = 474,884.35/690.12
  6. Step 6: Final answer
    x = 688.12

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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.