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Finding the Fourth Proportional to 963.47, 1,435.26 and 903.71

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Solution

The fourth proportional to 963.47, 1,435.26 and 903.71 is: 1,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.47 : 1,435.26 = 903.71 : x
  2. Step 2: Convert to fraction form
    963.47/1,435.26 = 903.71/x
  3. Step 3: Cross multiply
    963.47x = 1,435.26 × 903.71
  4. Step 4: Simplify right side
    963.47x = 1,297,058.81
  5. Step 5: Solve for x
    x = 1,297,058.81/963.47
  6. Step 6: Final answer
    x = 1,346.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.