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Finding the Fourth Proportional to 666.02, 920.22 and 501.32

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Solution

The fourth proportional to 666.02, 920.22 and 501.32 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.02 : 920.22 = 501.32 : x
  2. Step 2: Convert to fraction form
    666.02/920.22 = 501.32/x
  3. Step 3: Cross multiply
    666.02x = 920.22 × 501.32
  4. Step 4: Simplify right side
    666.02x = 461,324.69
  5. Step 5: Solve for x
    x = 461,324.69/666.02
  6. Step 6: Final answer
    x = 692.66

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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.