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Finding the Fourth Proportional to 530.52, 794.37 and 286.29

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Solution

The fourth proportional to 530.52, 794.37 and 286.29 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 794.37 = 286.29 : x
  2. Step 2: Convert to fraction form
    530.52/794.37 = 286.29/x
  3. Step 3: Cross multiply
    530.52x = 794.37 × 286.29
  4. Step 4: Simplify right side
    530.52x = 227,420.19
  5. Step 5: Solve for x
    x = 227,420.19/530.52
  6. Step 6: Final answer
    x = 428.67

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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.