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Finding the Fourth Proportional to 645.67, 891.75 and 500.07

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Solution

The fourth proportional to 645.67, 891.75 and 500.07 is: 690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.67 : 891.75 = 500.07 : x
  2. Step 2: Convert to fraction form
    645.67/891.75 = 500.07/x
  3. Step 3: Cross multiply
    645.67x = 891.75 × 500.07
  4. Step 4: Simplify right side
    645.67x = 445,932.96
  5. Step 5: Solve for x
    x = 445,932.96/645.67
  6. Step 6: Final answer
    x = 690.65

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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.