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Finding the Fourth Proportional to 838.72, 1,258.17 and 510.22

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Solution

The fourth proportional to 838.72, 1,258.17 and 510.22 is: 765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.72 : 1,258.17 = 510.22 : x
  2. Step 2: Convert to fraction form
    838.72/1,258.17 = 510.22/x
  3. Step 3: Cross multiply
    838.72x = 1,258.17 × 510.22
  4. Step 4: Simplify right side
    838.72x = 641,943.50
  5. Step 5: Solve for x
    x = 641,943.50/838.72
  6. Step 6: Final answer
    x = 765.38

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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.