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Finding the Fourth Proportional to 585.36, 876.96 and 455.76

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Solution

The fourth proportional to 585.36, 876.96 and 455.76 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 876.96 = 455.76 : x
  2. Step 2: Convert to fraction form
    585.36/876.96 = 455.76/x
  3. Step 3: Cross multiply
    585.36x = 876.96 × 455.76
  4. Step 4: Simplify right side
    585.36x = 399,683.29
  5. Step 5: Solve for x
    x = 399,683.29/585.36
  6. Step 6: Final answer
    x = 682.80

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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.