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Finding the Fourth Proportional to 500.24, 689.81 and 430.52

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Solution

The fourth proportional to 500.24, 689.81 and 430.52 is: 593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 689.81 = 430.52 : x
  2. Step 2: Convert to fraction form
    500.24/689.81 = 430.52/x
  3. Step 3: Cross multiply
    500.24x = 689.81 × 430.52
  4. Step 4: Simplify right side
    500.24x = 296,977.00
  5. Step 5: Solve for x
    x = 296,977.00/500.24
  6. Step 6: Final answer
    x = 593.67

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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.