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Finding the Fourth Proportional to 690.86, 1,034.98 and 429.64

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Solution

The fourth proportional to 690.86, 1,034.98 and 429.64 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 1,034.98 = 429.64 : x
  2. Step 2: Convert to fraction form
    690.86/1,034.98 = 429.64/x
  3. Step 3: Cross multiply
    690.86x = 1,034.98 × 429.64
  4. Step 4: Simplify right side
    690.86x = 444,665.15
  5. Step 5: Solve for x
    x = 444,665.15/690.86
  6. Step 6: Final answer
    x = 643.64

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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.