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Finding the Fourth Proportional to 507.48, 701.10 and 352.68

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Solution

The fourth proportional to 507.48, 701.10 and 352.68 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 701.10 = 352.68 : x
  2. Step 2: Convert to fraction form
    507.48/701.10 = 352.68/x
  3. Step 3: Cross multiply
    507.48x = 701.10 × 352.68
  4. Step 4: Simplify right side
    507.48x = 247,263.95
  5. Step 5: Solve for x
    x = 247,263.95/507.48
  6. Step 6: Final answer
    x = 487.24

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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.