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Finding the Fourth Proportional to 1,315.66, 1,973.49 and 328.47

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Solution

The fourth proportional to 1,315.66, 1,973.49 and 328.47 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.66 : 1,973.49 = 328.47 : x
  2. Step 2: Convert to fraction form
    1,315.66/1,973.49 = 328.47/x
  3. Step 3: Cross multiply
    1,315.66x = 1,973.49 × 328.47
  4. Step 4: Simplify right side
    1,315.66x = 648,230.62
  5. Step 5: Solve for x
    x = 648,230.62/1,315.66
  6. Step 6: Final answer
    x = 492.70

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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.