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Finding the Fourth Proportional to 507.11, 700.08 and 320.90

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Solution

The fourth proportional to 507.11, 700.08 and 320.90 is: 443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.11 : 700.08 = 320.90 : x
  2. Step 2: Convert to fraction form
    507.11/700.08 = 320.90/x
  3. Step 3: Cross multiply
    507.11x = 700.08 × 320.90
  4. Step 4: Simplify right side
    507.11x = 224,655.67
  5. Step 5: Solve for x
    x = 224,655.67/507.11
  6. Step 6: Final answer
    x = 443.01

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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.