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Finding the Fourth Proportional to 669.88, 917.75 and 643.96

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Solution

The fourth proportional to 669.88, 917.75 and 643.96 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.88 : 917.75 = 643.96 : x
  2. Step 2: Convert to fraction form
    669.88/917.75 = 643.96/x
  3. Step 3: Cross multiply
    669.88x = 917.75 × 643.96
  4. Step 4: Simplify right side
    669.88x = 590,994.29
  5. Step 5: Solve for x
    x = 590,994.29/669.88
  6. Step 6: Final answer
    x = 882.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.