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Finding the Fourth Proportional to 1,011.19, 1,393.63 and 748.75

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Solution

The fourth proportional to 1,011.19, 1,393.63 and 748.75 is: 1,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.19 : 1,393.63 = 748.75 : x
  2. Step 2: Convert to fraction form
    1,011.19/1,393.63 = 748.75/x
  3. Step 3: Cross multiply
    1,011.19x = 1,393.63 × 748.75
  4. Step 4: Simplify right side
    1,011.19x = 1,043,480.46
  5. Step 5: Solve for x
    x = 1,043,480.46/1,011.19
  6. Step 6: Final answer
    x = 1,031.93

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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.