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Finding the Fourth Proportional to 474.51, 654.75 and 288.00

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Solution

The fourth proportional to 474.51, 654.75 and 288.00 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.51 : 654.75 = 288.00 : x
  2. Step 2: Convert to fraction form
    474.51/654.75 = 288.00/x
  3. Step 3: Cross multiply
    474.51x = 654.75 × 288.00
  4. Step 4: Simplify right side
    474.51x = 188,570.36
  5. Step 5: Solve for x
    x = 188,570.36/474.51
  6. Step 6: Final answer
    x = 397.40

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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.