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Finding the Fourth Proportional to 604, 833.32 and 464.08

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Solution

The fourth proportional to 604, 833.32 and 464.08 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604 : 833.32 = 464.08 : x
  2. Step 2: Convert to fraction form
    604/833.32 = 464.08/x
  3. Step 3: Cross multiply
    604x = 833.32 × 464.08
  4. Step 4: Simplify right side
    604x = 386,727.15
  5. Step 5: Solve for x
    x = 386,727.15/604
  6. Step 6: Final answer
    x = 640.28

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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.