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Finding the Fourth Proportional to 650.55, 898.13 and 430.14

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Solution

The fourth proportional to 650.55, 898.13 and 430.14 is: 593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.55 : 898.13 = 430.14 : x
  2. Step 2: Convert to fraction form
    650.55/898.13 = 430.14/x
  3. Step 3: Cross multiply
    650.55x = 898.13 × 430.14
  4. Step 4: Simplify right side
    650.55x = 386,321.64
  5. Step 5: Solve for x
    x = 386,321.64/650.55
  6. Step 6: Final answer
    x = 593.84

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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.