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Finding the Fourth Proportional to 458.63, 686.87 and 430.08

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Solution

The fourth proportional to 458.63, 686.87 and 430.08 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 686.87 = 430.08 : x
  2. Step 2: Convert to fraction form
    458.63/686.87 = 430.08/x
  3. Step 3: Cross multiply
    458.63x = 686.87 × 430.08
  4. Step 4: Simplify right side
    458.63x = 295,405.94
  5. Step 5: Solve for x
    x = 295,405.94/458.63
  6. Step 6: Final answer
    x = 644.11

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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.