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Finding the Fourth Proportional to 964.60, 1,436.63 and 930.58

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Solution

The fourth proportional to 964.60, 1,436.63 and 930.58 is: 1,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.60 : 1,436.63 = 930.58 : x
  2. Step 2: Convert to fraction form
    964.60/1,436.63 = 930.58/x
  3. Step 3: Cross multiply
    964.60x = 1,436.63 × 930.58
  4. Step 4: Simplify right side
    964.60x = 1,336,899.15
  5. Step 5: Solve for x
    x = 1,336,899.15/964.60
  6. Step 6: Final answer
    x = 1,385.96

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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.