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Finding the Fourth Proportional to 695.59, 959.99 and 433.63

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Solution

The fourth proportional to 695.59, 959.99 and 433.63 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.59 : 959.99 = 433.63 : x
  2. Step 2: Convert to fraction form
    695.59/959.99 = 433.63/x
  3. Step 3: Cross multiply
    695.59x = 959.99 × 433.63
  4. Step 4: Simplify right side
    695.59x = 416,280.46
  5. Step 5: Solve for x
    x = 416,280.46/695.59
  6. Step 6: Final answer
    x = 598.46

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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.