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Finding the Fourth Proportional to 838.51, 1,258.57 and 514.51

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Solution

The fourth proportional to 838.51, 1,258.57 and 514.51 is: 772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.51 : 1,258.57 = 514.51 : x
  2. Step 2: Convert to fraction form
    838.51/1,258.57 = 514.51/x
  3. Step 3: Cross multiply
    838.51x = 1,258.57 × 514.51
  4. Step 4: Simplify right side
    838.51x = 647,544.28
  5. Step 5: Solve for x
    x = 647,544.28/838.51
  6. Step 6: Final answer
    x = 772.26

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