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Finding the Fourth Proportional to 665.70, 919.08 and 433.20

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Solution

The fourth proportional to 665.70, 919.08 and 433.20 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 919.08 = 433.20 : x
  2. Step 2: Convert to fraction form
    665.70/919.08 = 433.20/x
  3. Step 3: Cross multiply
    665.70x = 919.08 × 433.20
  4. Step 4: Simplify right side
    665.70x = 398,145.46
  5. Step 5: Solve for x
    x = 398,145.46/665.70
  6. Step 6: Final answer
    x = 598.09

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.