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Finding the Fourth Proportional to 690.33, 1,034.05 and 430.46

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Solution

The fourth proportional to 690.33, 1,034.05 and 430.46 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,034.05 = 430.46 : x
  2. Step 2: Convert to fraction form
    690.33/1,034.05 = 430.46/x
  3. Step 3: Cross multiply
    690.33x = 1,034.05 × 430.46
  4. Step 4: Simplify right side
    690.33x = 445,117.16
  5. Step 5: Solve for x
    x = 445,117.16/690.33
  6. Step 6: Final answer
    x = 644.79

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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.