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Finding the Fourth Proportional to 1,315.33, 1,973.34 and 390.85

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Solution

The fourth proportional to 1,315.33, 1,973.34 and 390.85 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.33 : 1,973.34 = 390.85 : x
  2. Step 2: Convert to fraction form
    1,315.33/1,973.34 = 390.85/x
  3. Step 3: Cross multiply
    1,315.33x = 1,973.34 × 390.85
  4. Step 4: Simplify right side
    1,315.33x = 771,279.94
  5. Step 5: Solve for x
    x = 771,279.94/1,315.33
  6. Step 6: Final answer
    x = 586.38

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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.