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Finding the Fourth Proportional to 575.92, 795.06 and 355.12

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Solution

The fourth proportional to 575.92, 795.06 and 355.12 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 795.06 = 355.12 : x
  2. Step 2: Convert to fraction form
    575.92/795.06 = 355.12/x
  3. Step 3: Cross multiply
    575.92x = 795.06 × 355.12
  4. Step 4: Simplify right side
    575.92x = 282,341.71
  5. Step 5: Solve for x
    x = 282,341.71/575.92
  6. Step 6: Final answer
    x = 490.24

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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.