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Finding the Fourth Proportional to 647.64, 894.12 and 470.88

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Solution

The fourth proportional to 647.64, 894.12 and 470.88 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 894.12 = 470.88 : x
  2. Step 2: Convert to fraction form
    647.64/894.12 = 470.88/x
  3. Step 3: Cross multiply
    647.64x = 894.12 × 470.88
  4. Step 4: Simplify right side
    647.64x = 421,023.23
  5. Step 5: Solve for x
    x = 421,023.23/647.64
  6. Step 6: Final answer
    x = 650.09

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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.