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Finding the Fourth Proportional to 585.24, 806.40 and 553.92

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Solution

The fourth proportional to 585.24, 806.40 and 553.92 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 806.40 = 553.92 : x
  2. Step 2: Convert to fraction form
    585.24/806.40 = 553.92/x
  3. Step 3: Cross multiply
    585.24x = 806.40 × 553.92
  4. Step 4: Simplify right side
    585.24x = 446,681.09
  5. Step 5: Solve for x
    x = 446,681.09/585.24
  6. Step 6: Final answer
    x = 763.24

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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.