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Finding the Fourth Proportional to 666.95, 919.41 and 430.88

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Solution

The fourth proportional to 666.95, 919.41 and 430.88 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.95 : 919.41 = 430.88 : x
  2. Step 2: Convert to fraction form
    666.95/919.41 = 430.88/x
  3. Step 3: Cross multiply
    666.95x = 919.41 × 430.88
  4. Step 4: Simplify right side
    666.95x = 396,155.38
  5. Step 5: Solve for x
    x = 396,155.38/666.95
  6. Step 6: Final answer
    x = 593.98

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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.