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Finding the Fourth Proportional to 643.92, 888.66 and 469.32

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Solution

The fourth proportional to 643.92, 888.66 and 469.32 is: 647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 888.66 = 469.32 : x
  2. Step 2: Convert to fraction form
    643.92/888.66 = 469.32/x
  3. Step 3: Cross multiply
    643.92x = 888.66 × 469.32
  4. Step 4: Simplify right side
    643.92x = 417,065.91
  5. Step 5: Solve for x
    x = 417,065.91/643.92
  6. Step 6: Final answer
    x = 647.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.