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Finding the Fourth Proportional to 463.93, 695.39 and 290.72

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Solution

The fourth proportional to 463.93, 695.39 and 290.72 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.93 : 695.39 = 290.72 : x
  2. Step 2: Convert to fraction form
    463.93/695.39 = 290.72/x
  3. Step 3: Cross multiply
    463.93x = 695.39 × 290.72
  4. Step 4: Simplify right side
    463.93x = 202,164.07
  5. Step 5: Solve for x
    x = 202,164.07/463.93
  6. Step 6: Final answer
    x = 435.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.