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Finding the Fourth Proportional to 688.63, 949.57 and 455.35

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Solution

The fourth proportional to 688.63, 949.57 and 455.35 is: 627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.63 : 949.57 = 455.35 : x
  2. Step 2: Convert to fraction form
    688.63/949.57 = 455.35/x
  3. Step 3: Cross multiply
    688.63x = 949.57 × 455.35
  4. Step 4: Simplify right side
    688.63x = 432,386.70
  5. Step 5: Solve for x
    x = 432,386.70/688.63
  6. Step 6: Final answer
    x = 627.89

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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.