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Finding the Fourth Proportional to 780.69, 1,171.38 and 607.10

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Solution

The fourth proportional to 780.69, 1,171.38 and 607.10 is: 910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,171.38 = 607.10 : x
  2. Step 2: Convert to fraction form
    780.69/1,171.38 = 607.10/x
  3. Step 3: Cross multiply
    780.69x = 1,171.38 × 607.10
  4. Step 4: Simplify right side
    780.69x = 711,147.73
  5. Step 5: Solve for x
    x = 711,147.73/780.69
  6. Step 6: Final answer
    x = 910.92

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1.5x scale

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.