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Finding the Fourth Proportional to 1,126.66, 1,555.05 and 661.06

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Solution

The fourth proportional to 1,126.66, 1,555.05 and 661.06 is: 912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.66 : 1,555.05 = 661.06 : x
  2. Step 2: Convert to fraction form
    1,126.66/1,555.05 = 661.06/x
  3. Step 3: Cross multiply
    1,126.66x = 1,555.05 × 661.06
  4. Step 4: Simplify right side
    1,126.66x = 1,027,981.35
  5. Step 5: Solve for x
    x = 1,027,981.35/1,126.66
  6. Step 6: Final answer
    x = 912.41

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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.