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Finding the Fourth Proportional to 920.03, 1,270.13 and 709.75

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Solution

The fourth proportional to 920.03, 1,270.13 and 709.75 is: 979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.03 : 1,270.13 = 709.75 : x
  2. Step 2: Convert to fraction form
    920.03/1,270.13 = 709.75/x
  3. Step 3: Cross multiply
    920.03x = 1,270.13 × 709.75
  4. Step 4: Simplify right side
    920.03x = 901,474.77
  5. Step 5: Solve for x
    x = 901,474.77/920.03
  6. Step 6: Final answer
    x = 979.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.