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Finding the Fourth Proportional to 690.86, 1,034.44 and 460.01

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Solution

The fourth proportional to 690.86, 1,034.44 and 460.01 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 1,034.44 = 460.01 : x
  2. Step 2: Convert to fraction form
    690.86/1,034.44 = 460.01/x
  3. Step 3: Cross multiply
    690.86x = 1,034.44 × 460.01
  4. Step 4: Simplify right side
    690.86x = 475,854.18
  5. Step 5: Solve for x
    x = 475,854.18/690.86
  6. Step 6: Final answer
    x = 688.78

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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.