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Finding the Fourth Proportional to 530.97, 732.83 and 443.61

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Solution

The fourth proportional to 530.97, 732.83 and 443.61 is: 612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 732.83 = 443.61 : x
  2. Step 2: Convert to fraction form
    530.97/732.83 = 443.61/x
  3. Step 3: Cross multiply
    530.97x = 732.83 × 443.61
  4. Step 4: Simplify right side
    530.97x = 325,088.50
  5. Step 5: Solve for x
    x = 325,088.50/530.97
  6. Step 6: Final answer
    x = 612.25

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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.