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Finding the Fourth Proportional to 913.87, 1,261.61 and 564.76

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Solution

The fourth proportional to 913.87, 1,261.61 and 564.76 is: 779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.87 : 1,261.61 = 564.76 : x
  2. Step 2: Convert to fraction form
    913.87/1,261.61 = 564.76/x
  3. Step 3: Cross multiply
    913.87x = 1,261.61 × 564.76
  4. Step 4: Simplify right side
    913.87x = 712,506.86
  5. Step 5: Solve for x
    x = 712,506.86/913.87
  6. Step 6: Final answer
    x = 779.66

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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.