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Finding the Fourth Proportional to 963.60, 1,435.14 and 929.58

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Solution

The fourth proportional to 963.60, 1,435.14 and 929.58 is: 1,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.60 : 1,435.14 = 929.58 : x
  2. Step 2: Convert to fraction form
    963.60/1,435.14 = 929.58/x
  3. Step 3: Cross multiply
    963.60x = 1,435.14 × 929.58
  4. Step 4: Simplify right side
    963.60x = 1,334,077.44
  5. Step 5: Solve for x
    x = 1,334,077.44/963.60
  6. Step 6: Final answer
    x = 1,384.47

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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.