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Finding the Fourth Proportional to 780.48, 1,171.35 and 698.04

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Solution

The fourth proportional to 780.48, 1,171.35 and 698.04 is: 1,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.48 : 1,171.35 = 698.04 : x
  2. Step 2: Convert to fraction form
    780.48/1,171.35 = 698.04/x
  3. Step 3: Cross multiply
    780.48x = 1,171.35 × 698.04
  4. Step 4: Simplify right side
    780.48x = 817,649.15
  5. Step 5: Solve for x
    x = 817,649.15/780.48
  6. Step 6: Final answer
    x = 1,047.62

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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.