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Finding the Fourth Proportional to 920.50, 1,269.41 and 710.33

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Solution

The fourth proportional to 920.50, 1,269.41 and 710.33 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,269.41 = 710.33 : x
  2. Step 2: Convert to fraction form
    920.50/1,269.41 = 710.33/x
  3. Step 3: Cross multiply
    920.50x = 1,269.41 × 710.33
  4. Step 4: Simplify right side
    920.50x = 901,690.11
  5. Step 5: Solve for x
    x = 901,690.11/920.50
  6. Step 6: Final answer
    x = 979.57

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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.