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Finding the Fourth Proportional to 1,316.66, 1,972.11 and 930.74

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Solution

The fourth proportional to 1,316.66, 1,972.11 and 930.74 is: 1,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.66 : 1,972.11 = 930.74 : x
  2. Step 2: Convert to fraction form
    1,316.66/1,972.11 = 930.74/x
  3. Step 3: Cross multiply
    1,316.66x = 1,972.11 × 930.74
  4. Step 4: Simplify right side
    1,316.66x = 1,835,521.66
  5. Step 5: Solve for x
    x = 1,835,521.66/1,316.66
  6. Step 6: Final answer
    x = 1,394.07

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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.