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Finding the Fourth Proportional to 667.20, 920.64 and 434.40

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Solution

The fourth proportional to 667.20, 920.64 and 434.40 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.20 : 920.64 = 434.40 : x
  2. Step 2: Convert to fraction form
    667.20/920.64 = 434.40/x
  3. Step 3: Cross multiply
    667.20x = 920.64 × 434.40
  4. Step 4: Simplify right side
    667.20x = 399,926.02
  5. Step 5: Solve for x
    x = 399,926.02/667.20
  6. Step 6: Final answer
    x = 599.41

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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.