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Finding the Fourth Proportional to 1,315.57, 1,972.03 and 853.65

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Solution

The fourth proportional to 1,315.57, 1,972.03 and 853.65 is: 1,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.57 : 1,972.03 = 853.65 : x
  2. Step 2: Convert to fraction form
    1,315.57/1,972.03 = 853.65/x
  3. Step 3: Cross multiply
    1,315.57x = 1,972.03 × 853.65
  4. Step 4: Simplify right side
    1,315.57x = 1,683,423.41
  5. Step 5: Solve for x
    x = 1,683,423.41/1,315.57
  6. Step 6: Final answer
    x = 1,279.62

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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.