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Finding the Fourth Proportional to 585.68, 807.90 and 378.68

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Solution

The fourth proportional to 585.68, 807.90 and 378.68 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 807.90 = 378.68 : x
  2. Step 2: Convert to fraction form
    585.68/807.90 = 378.68/x
  3. Step 3: Cross multiply
    585.68x = 807.90 × 378.68
  4. Step 4: Simplify right side
    585.68x = 305,935.57
  5. Step 5: Solve for x
    x = 305,935.57/585.68
  6. Step 6: Final answer
    x = 522.36

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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.