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Finding the Fourth Proportional to 690.93, 1,034.73 and 446.76

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Solution

The fourth proportional to 690.93, 1,034.73 and 446.76 is: 669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,034.73 = 446.76 : x
  2. Step 2: Convert to fraction form
    690.93/1,034.73 = 446.76/x
  3. Step 3: Cross multiply
    690.93x = 1,034.73 × 446.76
  4. Step 4: Simplify right side
    690.93x = 462,275.97
  5. Step 5: Solve for x
    x = 462,275.97/690.93
  6. Step 6: Final answer
    x = 669.06

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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.