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Finding the Fourth Proportional to 576.45, 795.15 and 465.75

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Solution

The fourth proportional to 576.45, 795.15 and 465.75 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 795.15 = 465.75 : x
  2. Step 2: Convert to fraction form
    576.45/795.15 = 465.75/x
  3. Step 3: Cross multiply
    576.45x = 795.15 × 465.75
  4. Step 4: Simplify right side
    576.45x = 370,341.11
  5. Step 5: Solve for x
    x = 370,341.11/576.45
  6. Step 6: Final answer
    x = 642.45

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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.