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Finding the Fourth Proportional to 988.53, 1,470.68 and 930.21

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Solution

The fourth proportional to 988.53, 1,470.68 and 930.21 is: 1,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.53 : 1,470.68 = 930.21 : x
  2. Step 2: Convert to fraction form
    988.53/1,470.68 = 930.21/x
  3. Step 3: Cross multiply
    988.53x = 1,470.68 × 930.21
  4. Step 4: Simplify right side
    988.53x = 1,368,036.59
  5. Step 5: Solve for x
    x = 1,368,036.59/988.53
  6. Step 6: Final answer
    x = 1,383.91

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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.