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Finding the Fourth Proportional to 688.41, 950.34 and 464.40

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Solution

The fourth proportional to 688.41, 950.34 and 464.40 is: 641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 950.34 = 464.40 : x
  2. Step 2: Convert to fraction form
    688.41/950.34 = 464.40/x
  3. Step 3: Cross multiply
    688.41x = 950.34 × 464.40
  4. Step 4: Simplify right side
    688.41x = 441,337.90
  5. Step 5: Solve for x
    x = 441,337.90/688.41
  6. Step 6: Final answer
    x = 641.10

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1.5x scale

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.