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Finding the Fourth Proportional to 693.04, 1,039.72 and 346.57

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Solution

The fourth proportional to 693.04, 1,039.72 and 346.57 is: 519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,039.72 = 346.57 : x
  2. Step 2: Convert to fraction form
    693.04/1,039.72 = 346.57/x
  3. Step 3: Cross multiply
    693.04x = 1,039.72 × 346.57
  4. Step 4: Simplify right side
    693.04x = 360,335.76
  5. Step 5: Solve for x
    x = 360,335.76/693.04
  6. Step 6: Final answer
    x = 519.94

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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.