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Finding the Fourth Proportional to 585.26, 807.54 and 388.67

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Solution

The fourth proportional to 585.26, 807.54 and 388.67 is: 536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.26 : 807.54 = 388.67 : x
  2. Step 2: Convert to fraction form
    585.26/807.54 = 388.67/x
  3. Step 3: Cross multiply
    585.26x = 807.54 × 388.67
  4. Step 4: Simplify right side
    585.26x = 313,862.53
  5. Step 5: Solve for x
    x = 313,862.53/585.26
  6. Step 6: Final answer
    x = 536.28

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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.