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Finding the Fourth Proportional to 917.76, 1,366.76 and 912.49

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Solution

The fourth proportional to 917.76, 1,366.76 and 912.49 is: 1,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,366.76 = 912.49 : x
  2. Step 2: Convert to fraction form
    917.76/1,366.76 = 912.49/x
  3. Step 3: Cross multiply
    917.76x = 1,366.76 × 912.49
  4. Step 4: Simplify right side
    917.76x = 1,247,157.11
  5. Step 5: Solve for x
    x = 1,247,157.11/917.76
  6. Step 6: Final answer
    x = 1,358.92

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.