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Finding the Fourth Proportional to 530.45, 732.09 and 320.65

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Solution

The fourth proportional to 530.45, 732.09 and 320.65 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 732.09 = 320.65 : x
  2. Step 2: Convert to fraction form
    530.45/732.09 = 320.65/x
  3. Step 3: Cross multiply
    530.45x = 732.09 × 320.65
  4. Step 4: Simplify right side
    530.45x = 234,741.00
  5. Step 5: Solve for x
    x = 234,741.00/530.45
  6. Step 6: Final answer
    x = 442.54

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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.