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Finding the Fourth Proportional to 669.90, 923.48 and 470.10

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Solution

The fourth proportional to 669.90, 923.48 and 470.10 is: 648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.90 : 923.48 = 470.10 : x
  2. Step 2: Convert to fraction form
    669.90/923.48 = 470.10/x
  3. Step 3: Cross multiply
    669.90x = 923.48 × 470.10
  4. Step 4: Simplify right side
    669.90x = 434,130.82
  5. Step 5: Solve for x
    x = 434,130.82/669.90
  6. Step 6: Final answer
    x = 648.05

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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.