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Finding the Fourth Proportional to 682.32, 940.68 and 507.36

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Solution

The fourth proportional to 682.32, 940.68 and 507.36 is: 699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 940.68 = 507.36 : x
  2. Step 2: Convert to fraction form
    682.32/940.68 = 507.36/x
  3. Step 3: Cross multiply
    682.32x = 940.68 × 507.36
  4. Step 4: Simplify right side
    682.32x = 477,263.40
  5. Step 5: Solve for x
    x = 477,263.40/682.32
  6. Step 6: Final answer
    x = 699.47

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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.