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Finding the Fourth Proportional to 530.28, 730.62 and 477.90

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Solution

The fourth proportional to 530.28, 730.62 and 477.90 is: 658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 730.62 = 477.90 : x
  2. Step 2: Convert to fraction form
    530.28/730.62 = 477.90/x
  3. Step 3: Cross multiply
    530.28x = 730.62 × 477.90
  4. Step 4: Simplify right side
    530.28x = 349,163.30
  5. Step 5: Solve for x
    x = 349,163.30/530.28
  6. Step 6: Final answer
    x = 658.45

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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.