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Finding the Fourth Proportional to 536.46, 807.81 and 468.79

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Solution

The fourth proportional to 536.46, 807.81 and 468.79 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 807.81 = 468.79 : x
  2. Step 2: Convert to fraction form
    536.46/807.81 = 468.79/x
  3. Step 3: Cross multiply
    536.46x = 807.81 × 468.79
  4. Step 4: Simplify right side
    536.46x = 378,689.47
  5. Step 5: Solve for x
    x = 378,689.47/536.46
  6. Step 6: Final answer
    x = 705.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.