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Finding the Fourth Proportional to 424.75, 586.40 and 321.07

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Solution

The fourth proportional to 424.75, 586.40 and 321.07 is: 443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.75 : 586.40 = 321.07 : x
  2. Step 2: Convert to fraction form
    424.75/586.40 = 321.07/x
  3. Step 3: Cross multiply
    424.75x = 586.40 × 321.07
  4. Step 4: Simplify right side
    424.75x = 188,275.45
  5. Step 5: Solve for x
    x = 188,275.45/424.75
  6. Step 6: Final answer
    x = 443.26

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Find fourth proportional to 212.38, 293.20 and 160.54
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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.