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Finding the Fourth Proportional to 604.61, 835.01 and 470.36

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Solution

The fourth proportional to 604.61, 835.01 and 470.36 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.61 : 835.01 = 470.36 : x
  2. Step 2: Convert to fraction form
    604.61/835.01 = 470.36/x
  3. Step 3: Cross multiply
    604.61x = 835.01 × 470.36
  4. Step 4: Simplify right side
    604.61x = 392,752.11
  5. Step 5: Solve for x
    x = 392,752.11/604.61
  6. Step 6: Final answer
    x = 649.59

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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.