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Finding the Fourth Proportional to 780.38, 1,171.53 and 740.06

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Solution

The fourth proportional to 780.38, 1,171.53 and 740.06 is: 1,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.38 : 1,171.53 = 740.06 : x
  2. Step 2: Convert to fraction form
    780.38/1,171.53 = 740.06/x
  3. Step 3: Cross multiply
    780.38x = 1,171.53 × 740.06
  4. Step 4: Simplify right side
    780.38x = 867,002.49
  5. Step 5: Solve for x
    x = 867,002.49/780.38
  6. Step 6: Final answer
    x = 1,111.00

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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.