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Finding the Fourth Proportional to 585.12, 876.06 and 441.48

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Solution

The fourth proportional to 585.12, 876.06 and 441.48 is: 661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 876.06 = 441.48 : x
  2. Step 2: Convert to fraction form
    585.12/876.06 = 441.48/x
  3. Step 3: Cross multiply
    585.12x = 876.06 × 441.48
  4. Step 4: Simplify right side
    585.12x = 386,762.97
  5. Step 5: Solve for x
    x = 386,762.97/585.12
  6. Step 6: Final answer
    x = 661.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.