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Finding the Fourth Proportional to 507.93, 700.95 and 330.98

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Solution

The fourth proportional to 507.93, 700.95 and 330.98 is: 456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.93 : 700.95 = 330.98 : x
  2. Step 2: Convert to fraction form
    507.93/700.95 = 330.98/x
  3. Step 3: Cross multiply
    507.93x = 700.95 × 330.98
  4. Step 4: Simplify right side
    507.93x = 231,995.27
  5. Step 5: Solve for x
    x = 231,995.27/507.93
  6. Step 6: Final answer
    x = 456.75

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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.