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Finding the Fourth Proportional to 609.71, 840.52 and 434.75

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Solution

The fourth proportional to 609.71, 840.52 and 434.75 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 840.52 = 434.75 : x
  2. Step 2: Convert to fraction form
    609.71/840.52 = 434.75/x
  3. Step 3: Cross multiply
    609.71x = 840.52 × 434.75
  4. Step 4: Simplify right side
    609.71x = 365,409.69
  5. Step 5: Solve for x
    x = 365,409.69/609.71
  6. Step 6: Final answer
    x = 599.32

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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.