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Finding the Fourth Proportional to 1,316.65, 1,974.79 and 392.17

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Solution

The fourth proportional to 1,316.65, 1,974.79 and 392.17 is: 588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.65 : 1,974.79 = 392.17 : x
  2. Step 2: Convert to fraction form
    1,316.65/1,974.79 = 392.17/x
  3. Step 3: Cross multiply
    1,316.65x = 1,974.79 × 392.17
  4. Step 4: Simplify right side
    1,316.65x = 774,457.35
  5. Step 5: Solve for x
    x = 774,457.35/1,316.65
  6. Step 6: Final answer
    x = 588.20

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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.