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Finding the Fourth Proportional to 952.89, 1,314.81 and 559.77

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Solution

The fourth proportional to 952.89, 1,314.81 and 559.77 is: 772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.89 : 1,314.81 = 559.77 : x
  2. Step 2: Convert to fraction form
    952.89/1,314.81 = 559.77/x
  3. Step 3: Cross multiply
    952.89x = 1,314.81 × 559.77
  4. Step 4: Simplify right side
    952.89x = 735,991.19
  5. Step 5: Solve for x
    x = 735,991.19/952.89
  6. Step 6: Final answer
    x = 772.38

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Double scale
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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.