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Finding the Fourth Proportional to 695.07, 959.21 and 384.57

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Solution

The fourth proportional to 695.07, 959.21 and 384.57 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.07 : 959.21 = 384.57 : x
  2. Step 2: Convert to fraction form
    695.07/959.21 = 384.57/x
  3. Step 3: Cross multiply
    695.07x = 959.21 × 384.57
  4. Step 4: Simplify right side
    695.07x = 368,881.47
  5. Step 5: Solve for x
    x = 368,881.47/695.07
  6. Step 6: Final answer
    x = 530.71

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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.