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Finding the Fourth Proportional to 666.93, 920.78 and 431.00

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Solution

The fourth proportional to 666.93, 920.78 and 431.00 is: 595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.93 : 920.78 = 431.00 : x
  2. Step 2: Convert to fraction form
    666.93/920.78 = 431.00/x
  3. Step 3: Cross multiply
    666.93x = 920.78 × 431.00
  4. Step 4: Simplify right side
    666.93x = 396,849.42
  5. Step 5: Solve for x
    x = 396,849.42/666.93
  6. Step 6: Final answer
    x = 595.04

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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.