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Finding the Fourth Proportional to 530.28, 794.61 and 475.07

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Solution

The fourth proportional to 530.28, 794.61 and 475.07 is: 711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 794.61 = 475.07 : x
  2. Step 2: Convert to fraction form
    530.28/794.61 = 475.07/x
  3. Step 3: Cross multiply
    530.28x = 794.61 × 475.07
  4. Step 4: Simplify right side
    530.28x = 377,491.40
  5. Step 5: Solve for x
    x = 377,491.40/530.28
  6. Step 6: Final answer
    x = 711.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.