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Finding the Fourth Proportional to 698.75, 1,046.76 and 479.34

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Solution

The fourth proportional to 698.75, 1,046.76 and 479.34 is: 718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 1,046.76 = 479.34 : x
  2. Step 2: Convert to fraction form
    698.75/1,046.76 = 479.34/x
  3. Step 3: Cross multiply
    698.75x = 1,046.76 × 479.34
  4. Step 4: Simplify right side
    698.75x = 501,752.14
  5. Step 5: Solve for x
    x = 501,752.14/698.75
  6. Step 6: Final answer
    x = 718.07

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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.