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Finding the Fourth Proportional to 780.88, 1,171.60 and 473.36

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Solution

The fourth proportional to 780.88, 1,171.60 and 473.36 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.88 : 1,171.60 = 473.36 : x
  2. Step 2: Convert to fraction form
    780.88/1,171.60 = 473.36/x
  3. Step 3: Cross multiply
    780.88x = 1,171.60 × 473.36
  4. Step 4: Simplify right side
    780.88x = 554,588.58
  5. Step 5: Solve for x
    x = 554,588.58/780.88
  6. Step 6: Final answer
    x = 710.21

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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.