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Finding the Fourth Proportional to 665.94, 919.20 and 433.02

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Solution

The fourth proportional to 665.94, 919.20 and 433.02 is: 597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 919.20 = 433.02 : x
  2. Step 2: Convert to fraction form
    665.94/919.20 = 433.02/x
  3. Step 3: Cross multiply
    665.94x = 919.20 × 433.02
  4. Step 4: Simplify right side
    665.94x = 398,031.98
  5. Step 5: Solve for x
    x = 398,031.98/665.94
  6. Step 6: Final answer
    x = 597.70

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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.