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Finding the Fourth Proportional to 530.28, 732.03 and 396.02

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Solution

The fourth proportional to 530.28, 732.03 and 396.02 is: 546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 732.03 = 396.02 : x
  2. Step 2: Convert to fraction form
    530.28/732.03 = 396.02/x
  3. Step 3: Cross multiply
    530.28x = 732.03 × 396.02
  4. Step 4: Simplify right side
    530.28x = 289,898.52
  5. Step 5: Solve for x
    x = 289,898.52/530.28
  6. Step 6: Final answer
    x = 546.69

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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.