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Finding the Fourth Proportional to 664.83, 918.63 and 478.93

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Solution

The fourth proportional to 664.83, 918.63 and 478.93 is: 661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 918.63 = 478.93 : x
  2. Step 2: Convert to fraction form
    664.83/918.63 = 478.93/x
  3. Step 3: Cross multiply
    664.83x = 918.63 × 478.93
  4. Step 4: Simplify right side
    664.83x = 439,959.47
  5. Step 5: Solve for x
    x = 439,959.47/664.83
  6. Step 6: Final answer
    x = 661.76

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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.