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Finding the Fourth Proportional to 530.97, 732.75 and 309.96

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Solution

The fourth proportional to 530.97, 732.75 and 309.96 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 732.75 = 309.96 : x
  2. Step 2: Convert to fraction form
    530.97/732.75 = 309.96/x
  3. Step 3: Cross multiply
    530.97x = 732.75 × 309.96
  4. Step 4: Simplify right side
    530.97x = 227,123.19
  5. Step 5: Solve for x
    x = 227,123.19/530.97
  6. Step 6: Final answer
    x = 427.75

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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.