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Finding the Fourth Proportional to 1,135.71, 1,567.67 and 716.76

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Solution

The fourth proportional to 1,135.71, 1,567.67 and 716.76 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,567.67 = 716.76 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,567.67 = 716.76/x
  3. Step 3: Cross multiply
    1,135.71x = 1,567.67 × 716.76
  4. Step 4: Simplify right side
    1,135.71x = 1,123,639.57
  5. Step 5: Solve for x
    x = 1,123,639.57/1,135.71
  6. Step 6: Final answer
    x = 989.37

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Half scale
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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.