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Finding the Fourth Proportional to 913.69, 1,261.38 and 564.58

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Solution

The fourth proportional to 913.69, 1,261.38 and 564.58 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.69 : 1,261.38 = 564.58 : x
  2. Step 2: Convert to fraction form
    913.69/1,261.38 = 564.58/x
  3. Step 3: Cross multiply
    913.69x = 1,261.38 × 564.58
  4. Step 4: Simplify right side
    913.69x = 712,149.92
  5. Step 5: Solve for x
    x = 712,149.92/913.69
  6. Step 6: Final answer
    x = 779.42

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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.