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Finding the Fourth Proportional to 666.40, 920.09 and 596.25

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Solution

The fourth proportional to 666.40, 920.09 and 596.25 is: 823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.40 : 920.09 = 596.25 : x
  2. Step 2: Convert to fraction form
    666.40/920.09 = 596.25/x
  3. Step 3: Cross multiply
    666.40x = 920.09 × 596.25
  4. Step 4: Simplify right side
    666.40x = 548,603.66
  5. Step 5: Solve for x
    x = 548,603.66/666.40
  6. Step 6: Final answer
    x = 823.23

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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.