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Finding the Fourth Proportional to 530.83, 732.46 and 320.97

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Solution

The fourth proportional to 530.83, 732.46 and 320.97 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.83 : 732.46 = 320.97 : x
  2. Step 2: Convert to fraction form
    530.83/732.46 = 320.97/x
  3. Step 3: Cross multiply
    530.83x = 732.46 × 320.97
  4. Step 4: Simplify right side
    530.83x = 235,097.69
  5. Step 5: Solve for x
    x = 235,097.69/530.83
  6. Step 6: Final answer
    x = 442.89

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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.