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Finding the Fourth Proportional to 507.21, 700.34 and 409.41

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Solution

The fourth proportional to 507.21, 700.34 and 409.41 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 700.34 = 409.41 : x
  2. Step 2: Convert to fraction form
    507.21/700.34 = 409.41/x
  3. Step 3: Cross multiply
    507.21x = 700.34 × 409.41
  4. Step 4: Simplify right side
    507.21x = 286,726.20
  5. Step 5: Solve for x
    x = 286,726.20/507.21
  6. Step 6: Final answer
    x = 565.30

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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.