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Finding the Fourth Proportional to 604.65, 907.25 and 214.77

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Solution

The fourth proportional to 604.65, 907.25 and 214.77 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 907.25 = 214.77 : x
  2. Step 2: Convert to fraction form
    604.65/907.25 = 214.77/x
  3. Step 3: Cross multiply
    604.65x = 907.25 × 214.77
  4. Step 4: Simplify right side
    604.65x = 194,849.01
  5. Step 5: Solve for x
    x = 194,849.01/604.65
  6. Step 6: Final answer
    x = 322.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.